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Finding the Fourth Proportional to 149.35, 205.45 and 123.43

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Solution

The fourth proportional to 149.35, 205.45 and 123.43 is: 169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.35 : 205.45 = 123.43 : x
  2. Step 2: Convert to fraction form
    149.35/205.45 = 123.43/x
  3. Step 3: Cross multiply
    149.35x = 205.45 × 123.43
  4. Step 4: Simplify right side
    149.35x = 25,358.69
  5. Step 5: Solve for x
    x = 25,358.69/149.35
  6. Step 6: Final answer
    x = 169.79

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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.