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Finding the Fourth Proportional to 187.67, 258.89 and 110

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Solution

The fourth proportional to 187.67, 258.89 and 110 is: 151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.67 : 258.89 = 110 : x
  2. Step 2: Convert to fraction form
    187.67/258.89 = 110/x
  3. Step 3: Cross multiply
    187.67x = 258.89 × 110
  4. Step 4: Simplify right side
    187.67x = 28,477.90
  5. Step 5: Solve for x
    x = 28,477.90/187.67
  6. Step 6: Final answer
    x = 151.74

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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.