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Finding the Fourth Proportional to 185.86, 278.10 and 112.46

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Solution

The fourth proportional to 185.86, 278.10 and 112.46 is: 168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 278.10 = 112.46 : x
  2. Step 2: Convert to fraction form
    185.86/278.10 = 112.46/x
  3. Step 3: Cross multiply
    185.86x = 278.10 × 112.46
  4. Step 4: Simplify right side
    185.86x = 31,275.13
  5. Step 5: Solve for x
    x = 31,275.13/185.86
  6. Step 6: Final answer
    x = 168.27

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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.