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Finding the Fourth Proportional to 149.38, 205.89 and 128.22

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Solution

The fourth proportional to 149.38, 205.89 and 128.22 is: 176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.38 : 205.89 = 128.22 : x
  2. Step 2: Convert to fraction form
    149.38/205.89 = 128.22/x
  3. Step 3: Cross multiply
    149.38x = 205.89 × 128.22
  4. Step 4: Simplify right side
    149.38x = 26,399.55
  5. Step 5: Solve for x
    x = 26,399.55/149.38
  6. Step 6: Final answer
    x = 176.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.