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Finding the Fourth Proportional to 646.46, 969.68 and 159.51

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Solution

The fourth proportional to 646.46, 969.68 and 159.51 is: 239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.46 : 969.68 = 159.51 : x
  2. Step 2: Convert to fraction form
    646.46/969.68 = 159.51/x
  3. Step 3: Cross multiply
    646.46x = 969.68 × 159.51
  4. Step 4: Simplify right side
    646.46x = 154,674.06
  5. Step 5: Solve for x
    x = 154,674.06/646.46
  6. Step 6: Final answer
    x = 239.27

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.