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Finding the Fourth Proportional to 185.06, 276.54 and 150.42

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Solution

The fourth proportional to 185.06, 276.54 and 150.42 is: 224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.06 : 276.54 = 150.42 : x
  2. Step 2: Convert to fraction form
    185.06/276.54 = 150.42/x
  3. Step 3: Cross multiply
    185.06x = 276.54 × 150.42
  4. Step 4: Simplify right side
    185.06x = 41,597.15
  5. Step 5: Solve for x
    x = 41,597.15/185.06
  6. Step 6: Final answer
    x = 224.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.