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Finding the Fourth Proportional to 185.67, 256.36 and 115.83

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Solution

The fourth proportional to 185.67, 256.36 and 115.83 is: 159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.67 : 256.36 = 115.83 : x
  2. Step 2: Convert to fraction form
    185.67/256.36 = 115.83/x
  3. Step 3: Cross multiply
    185.67x = 256.36 × 115.83
  4. Step 4: Simplify right side
    185.67x = 29,692.32
  5. Step 5: Solve for x
    x = 29,692.32/185.67
  6. Step 6: Final answer
    x = 159.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.