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Finding the Fourth Proportional to 187.53, 280.89 and 89.88

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Solution

The fourth proportional to 187.53, 280.89 and 89.88 is: 134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.53 : 280.89 = 89.88 : x
  2. Step 2: Convert to fraction form
    187.53/280.89 = 89.88/x
  3. Step 3: Cross multiply
    187.53x = 280.89 × 89.88
  4. Step 4: Simplify right side
    187.53x = 25,246.92
  5. Step 5: Solve for x
    x = 25,246.92/187.53
  6. Step 6: Final answer
    x = 134.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.