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Finding the Fourth Proportional to 501.96, 753.03 and 177.55

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Solution

The fourth proportional to 501.96, 753.03 and 177.55 is: 266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.96 : 753.03 = 177.55 : x
  2. Step 2: Convert to fraction form
    501.96/753.03 = 177.55/x
  3. Step 3: Cross multiply
    501.96x = 753.03 × 177.55
  4. Step 4: Simplify right side
    501.96x = 133,700.48
  5. Step 5: Solve for x
    x = 133,700.48/501.96
  6. Step 6: Final answer
    x = 266.36

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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.