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Finding the Fourth Proportional to 187.24, 280.82 and 118.55

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Solution

The fourth proportional to 187.24, 280.82 and 118.55 is: 177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.24 : 280.82 = 118.55 : x
  2. Step 2: Convert to fraction form
    187.24/280.82 = 118.55/x
  3. Step 3: Cross multiply
    187.24x = 280.82 × 118.55
  4. Step 4: Simplify right side
    187.24x = 33,291.21
  5. Step 5: Solve for x
    x = 33,291.21/187.24
  6. Step 6: Final answer
    x = 177.80

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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.