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Finding the Fourth Proportional to 475.31, 712.97 and 186.82

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Solution

The fourth proportional to 475.31, 712.97 and 186.82 is: 280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.31 : 712.97 = 186.82 : x
  2. Step 2: Convert to fraction form
    475.31/712.97 = 186.82/x
  3. Step 3: Cross multiply
    475.31x = 712.97 × 186.82
  4. Step 4: Simplify right side
    475.31x = 133,197.06
  5. Step 5: Solve for x
    x = 133,197.06/475.31
  6. Step 6: Final answer
    x = 280.23

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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.