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Finding the Fourth Proportional to 185.12, 278.24 and 171.36

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Solution

The fourth proportional to 185.12, 278.24 and 171.36 is: 257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.12 : 278.24 = 171.36 : x
  2. Step 2: Convert to fraction form
    185.12/278.24 = 171.36/x
  3. Step 3: Cross multiply
    185.12x = 278.24 × 171.36
  4. Step 4: Simplify right side
    185.12x = 47,679.21
  5. Step 5: Solve for x
    x = 47,679.21/185.12
  6. Step 6: Final answer
    x = 257.56

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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.