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Finding the Fourth Proportional to 187.19, 280.85 and 118.88

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Solution

The fourth proportional to 187.19, 280.85 and 118.88 is: 178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.19 : 280.85 = 118.88 : x
  2. Step 2: Convert to fraction form
    187.19/280.85 = 118.88/x
  3. Step 3: Cross multiply
    187.19x = 280.85 × 118.88
  4. Step 4: Simplify right side
    187.19x = 33,387.45
  5. Step 5: Solve for x
    x = 33,387.45/187.19
  6. Step 6: Final answer
    x = 178.36

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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.