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Finding the Fourth Proportional to 149.85, 223.56 and 122.72

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Solution

The fourth proportional to 149.85, 223.56 and 122.72 is: 183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.85 : 223.56 = 122.72 : x
  2. Step 2: Convert to fraction form
    149.85/223.56 = 122.72/x
  3. Step 3: Cross multiply
    149.85x = 223.56 × 122.72
  4. Step 4: Simplify right side
    149.85x = 27,434.17
  5. Step 5: Solve for x
    x = 27,434.17/149.85
  6. Step 6: Final answer
    x = 183.08

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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.