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Finding the Fourth Proportional to 297.52, 410.42 and 186.94

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Solution

The fourth proportional to 297.52, 410.42 and 186.94 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.52 : 410.42 = 186.94 : x
  2. Step 2: Convert to fraction form
    297.52/410.42 = 186.94/x
  3. Step 3: Cross multiply
    297.52x = 410.42 × 186.94
  4. Step 4: Simplify right side
    297.52x = 76,723.91
  5. Step 5: Solve for x
    x = 76,723.91/297.52
  6. Step 6: Final answer
    x = 257.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.