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Finding the Fourth Proportional to 187.60, 258.86 and 113.87

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Solution

The fourth proportional to 187.60, 258.86 and 113.87 is: 157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.60 : 258.86 = 113.87 : x
  2. Step 2: Convert to fraction form
    187.60/258.86 = 113.87/x
  3. Step 3: Cross multiply
    187.60x = 258.86 × 113.87
  4. Step 4: Simplify right side
    187.60x = 29,476.39
  5. Step 5: Solve for x
    x = 29,476.39/187.60
  6. Step 6: Final answer
    x = 157.12

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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.