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Finding the Fourth Proportional to 475.24, 712.92 and 186.70

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Solution

The fourth proportional to 475.24, 712.92 and 186.70 is: 280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.24 : 712.92 = 186.70 : x
  2. Step 2: Convert to fraction form
    475.24/712.92 = 186.70/x
  3. Step 3: Cross multiply
    475.24x = 712.92 × 186.70
  4. Step 4: Simplify right side
    475.24x = 133,102.16
  5. Step 5: Solve for x
    x = 133,102.16/475.24
  6. Step 6: Final answer
    x = 280.07

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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.