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Finding the Fourth Proportional to 154.74, 213.26 and 140.06

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Solution

The fourth proportional to 154.74, 213.26 and 140.06 is: 193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.74 : 213.26 = 140.06 : x
  2. Step 2: Convert to fraction form
    154.74/213.26 = 140.06/x
  3. Step 3: Cross multiply
    154.74x = 213.26 × 140.06
  4. Step 4: Simplify right side
    154.74x = 29,869.20
  5. Step 5: Solve for x
    x = 29,869.20/154.74
  6. Step 6: Final answer
    x = 193.03

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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.