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Finding the Fourth Proportional to 628.84, 943.24 and 166.56

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Solution

The fourth proportional to 628.84, 943.24 and 166.56 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.84 : 943.24 = 166.56 : x
  2. Step 2: Convert to fraction form
    628.84/943.24 = 166.56/x
  3. Step 3: Cross multiply
    628.84x = 943.24 × 166.56
  4. Step 4: Simplify right side
    628.84x = 157,106.05
  5. Step 5: Solve for x
    x = 157,106.05/628.84
  6. Step 6: Final answer
    x = 249.83

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Double scale
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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.