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Finding the Fourth Proportional to 149.50, 223.23 and 119.13

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Solution

The fourth proportional to 149.50, 223.23 and 119.13 is: 177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 223.23 = 119.13 : x
  2. Step 2: Convert to fraction form
    149.50/223.23 = 119.13/x
  3. Step 3: Cross multiply
    149.50x = 223.23 × 119.13
  4. Step 4: Simplify right side
    149.50x = 26,593.39
  5. Step 5: Solve for x
    x = 26,593.39/149.50
  6. Step 6: Final answer
    x = 177.88

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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.