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Finding the Fourth Proportional to 149.78, 224.20 and 120.62

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Solution

The fourth proportional to 149.78, 224.20 and 120.62 is: 180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 224.20 = 120.62 : x
  2. Step 2: Convert to fraction form
    149.78/224.20 = 120.62/x
  3. Step 3: Cross multiply
    149.78x = 224.20 × 120.62
  4. Step 4: Simplify right side
    149.78x = 27,043.00
  5. Step 5: Solve for x
    x = 27,043.00/149.78
  6. Step 6: Final answer
    x = 180.55

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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.