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Finding the Fourth Proportional to 154.62, 212.17 and 140.70

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Solution

The fourth proportional to 154.62, 212.17 and 140.70 is: 193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.62 : 212.17 = 140.70 : x
  2. Step 2: Convert to fraction form
    154.62/212.17 = 140.70/x
  3. Step 3: Cross multiply
    154.62x = 212.17 × 140.70
  4. Step 4: Simplify right side
    154.62x = 29,851.26
  5. Step 5: Solve for x
    x = 29,851.26/154.62
  6. Step 6: Final answer
    x = 193.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.