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Finding the Fourth Proportional to 502.55, 753.82 and 178.01

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Solution

The fourth proportional to 502.55, 753.82 and 178.01 is: 267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.55 : 753.82 = 178.01 : x
  2. Step 2: Convert to fraction form
    502.55/753.82 = 178.01/x
  3. Step 3: Cross multiply
    502.55x = 753.82 × 178.01
  4. Step 4: Simplify right side
    502.55x = 134,183.28
  5. Step 5: Solve for x
    x = 134,183.28/502.55
  6. Step 6: Final answer
    x = 267.01

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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.