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Finding the Fourth Proportional to 187.43, 258.66 and 113.74

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Solution

The fourth proportional to 187.43, 258.66 and 113.74 is: 156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.43 : 258.66 = 113.74 : x
  2. Step 2: Convert to fraction form
    187.43/258.66 = 113.74/x
  3. Step 3: Cross multiply
    187.43x = 258.66 × 113.74
  4. Step 4: Simplify right side
    187.43x = 29,419.34
  5. Step 5: Solve for x
    x = 29,419.34/187.43
  6. Step 6: Final answer
    x = 156.97

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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.