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Finding the Fourth Proportional to 187.32, 280.89 and 77.57

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Solution

The fourth proportional to 187.32, 280.89 and 77.57 is: 116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.32 : 280.89 = 77.57 : x
  2. Step 2: Convert to fraction form
    187.32/280.89 = 77.57/x
  3. Step 3: Cross multiply
    187.32x = 280.89 × 77.57
  4. Step 4: Simplify right side
    187.32x = 21,788.90
  5. Step 5: Solve for x
    x = 21,788.90/187.32
  6. Step 6: Final answer
    x = 116.32

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Why These Related Problems?

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