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Finding the Fourth Proportional to 149.46, 205.76 and 142.15

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Solution

The fourth proportional to 149.46, 205.76 and 142.15 is: 195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.46 : 205.76 = 142.15 : x
  2. Step 2: Convert to fraction form
    149.46/205.76 = 142.15/x
  3. Step 3: Cross multiply
    149.46x = 205.76 × 142.15
  4. Step 4: Simplify right side
    149.46x = 29,249.78
  5. Step 5: Solve for x
    x = 29,249.78/149.46
  6. Step 6: Final answer
    x = 195.70

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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.