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Finding the Fourth Proportional to 187.17, 258.20 and 109.53

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Solution

The fourth proportional to 187.17, 258.20 and 109.53 is: 151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.17 : 258.20 = 109.53 : x
  2. Step 2: Convert to fraction form
    187.17/258.20 = 109.53/x
  3. Step 3: Cross multiply
    187.17x = 258.20 × 109.53
  4. Step 4: Simplify right side
    187.17x = 28,280.10
  5. Step 5: Solve for x
    x = 28,280.10/187.17
  6. Step 6: Final answer
    x = 151.09

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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.