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Finding the Fourth Proportional to 185.52, 277.98 and 178.41

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Solution

The fourth proportional to 185.52, 277.98 and 178.41 is: 267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.52 : 277.98 = 178.41 : x
  2. Step 2: Convert to fraction form
    185.52/277.98 = 178.41/x
  3. Step 3: Cross multiply
    185.52x = 277.98 × 178.41
  4. Step 4: Simplify right side
    185.52x = 49,593.75
  5. Step 5: Solve for x
    x = 49,593.75/185.52
  6. Step 6: Final answer
    x = 267.32

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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.