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Finding the Fourth Proportional to 187.59, 258.86 and 113.93

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Solution

The fourth proportional to 187.59, 258.86 and 113.93 is: 157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.59 : 258.86 = 113.93 : x
  2. Step 2: Convert to fraction form
    187.59/258.86 = 113.93/x
  3. Step 3: Cross multiply
    187.59x = 258.86 × 113.93
  4. Step 4: Simplify right side
    187.59x = 29,491.92
  5. Step 5: Solve for x
    x = 29,491.92/187.59
  6. Step 6: Final answer
    x = 157.21

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