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Finding the Fourth Proportional to 154.26, 230.06 and 140.49

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Solution

The fourth proportional to 154.26, 230.06 and 140.49 is: 209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.26 : 230.06 = 140.49 : x
  2. Step 2: Convert to fraction form
    154.26/230.06 = 140.49/x
  3. Step 3: Cross multiply
    154.26x = 230.06 × 140.49
  4. Step 4: Simplify right side
    154.26x = 32,321.13
  5. Step 5: Solve for x
    x = 32,321.13/154.26
  6. Step 6: Final answer
    x = 209.52

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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.