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Finding the Fourth Proportional to 475.23, 712.57 and 178.62

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Solution

The fourth proportional to 475.23, 712.57 and 178.62 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.23 : 712.57 = 178.62 : x
  2. Step 2: Convert to fraction form
    475.23/712.57 = 178.62/x
  3. Step 3: Cross multiply
    475.23x = 712.57 × 178.62
  4. Step 4: Simplify right side
    475.23x = 127,279.25
  5. Step 5: Solve for x
    x = 127,279.25/475.23
  6. Step 6: Final answer
    x = 267.83

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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.