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Finding the Fourth Proportional to 149.67, 223.11 and 122.13

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Solution

The fourth proportional to 149.67, 223.11 and 122.13 is: 182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.67 : 223.11 = 122.13 : x
  2. Step 2: Convert to fraction form
    149.67/223.11 = 122.13/x
  3. Step 3: Cross multiply
    149.67x = 223.11 × 122.13
  4. Step 4: Simplify right side
    149.67x = 27,248.42
  5. Step 5: Solve for x
    x = 27,248.42/149.67
  6. Step 6: Final answer
    x = 182.06

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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.