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Finding the Fourth Proportional to 149.22, 223.61 and 128.57

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Solution

The fourth proportional to 149.22, 223.61 and 128.57 is: 192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.22 : 223.61 = 128.57 : x
  2. Step 2: Convert to fraction form
    149.22/223.61 = 128.57/x
  3. Step 3: Cross multiply
    149.22x = 223.61 × 128.57
  4. Step 4: Simplify right side
    149.22x = 28,747.78
  5. Step 5: Solve for x
    x = 28,747.78/149.22
  6. Step 6: Final answer
    x = 192.65

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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.