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Finding the Fourth Proportional to 502.53, 754.04 and 178.05

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Solution

The fourth proportional to 502.53, 754.04 and 178.05 is: 267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.53 : 754.04 = 178.05 : x
  2. Step 2: Convert to fraction form
    502.53/754.04 = 178.05/x
  3. Step 3: Cross multiply
    502.53x = 754.04 × 178.05
  4. Step 4: Simplify right side
    502.53x = 134,255.93
  5. Step 5: Solve for x
    x = 134,255.93/502.53
  6. Step 6: Final answer
    x = 267.16

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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.