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Finding the Fourth Proportional to 646.81, 970.22 and 159.85

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Solution

The fourth proportional to 646.81, 970.22 and 159.85 is: 239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.81 : 970.22 = 159.85 : x
  2. Step 2: Convert to fraction form
    646.81/970.22 = 159.85/x
  3. Step 3: Cross multiply
    646.81x = 970.22 × 159.85
  4. Step 4: Simplify right side
    646.81x = 155,084.02
  5. Step 5: Solve for x
    x = 155,084.02/646.81
  6. Step 6: Final answer
    x = 239.77

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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.