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Finding the Fourth Proportional to 502.16, 753.25 and 177.31

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Solution

The fourth proportional to 502.16, 753.25 and 177.31 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.16 : 753.25 = 177.31 : x
  2. Step 2: Convert to fraction form
    502.16/753.25 = 177.31/x
  3. Step 3: Cross multiply
    502.16x = 753.25 × 177.31
  4. Step 4: Simplify right side
    502.16x = 133,556.43
  5. Step 5: Solve for x
    x = 133,556.43/502.16
  6. Step 6: Final answer
    x = 265.96

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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.