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Finding the Fourth Proportional to 185.52, 278.09 and 120.56

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Solution

The fourth proportional to 185.52, 278.09 and 120.56 is: 180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.52 : 278.09 = 120.56 : x
  2. Step 2: Convert to fraction form
    185.52/278.09 = 120.56/x
  3. Step 3: Cross multiply
    185.52x = 278.09 × 120.56
  4. Step 4: Simplify right side
    185.52x = 33,526.53
  5. Step 5: Solve for x
    x = 33,526.53/185.52
  6. Step 6: Final answer
    x = 180.72

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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.