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Finding the Fourth Proportional to 185.52, 278.22 and 68.38

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Solution

The fourth proportional to 185.52, 278.22 and 68.38 is: 102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.52 : 278.22 = 68.38 : x
  2. Step 2: Convert to fraction form
    185.52/278.22 = 68.38/x
  3. Step 3: Cross multiply
    185.52x = 278.22 × 68.38
  4. Step 4: Simplify right side
    185.52x = 19,024.68
  5. Step 5: Solve for x
    x = 19,024.68/185.52
  6. Step 6: Final answer
    x = 102.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.