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Finding the Fourth Proportional to 297.31, 410.07 and 186.83

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Solution

The fourth proportional to 297.31, 410.07 and 186.83 is: 257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.31 : 410.07 = 186.83 : x
  2. Step 2: Convert to fraction form
    297.31/410.07 = 186.83/x
  3. Step 3: Cross multiply
    297.31x = 410.07 × 186.83
  4. Step 4: Simplify right side
    297.31x = 76,613.38
  5. Step 5: Solve for x
    x = 76,613.38/297.31
  6. Step 6: Final answer
    x = 257.69

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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.