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Finding the Fourth Proportional to 159.25, 219.30 and 140.74

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Solution

The fourth proportional to 159.25, 219.30 and 140.74 is: 193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.25 : 219.30 = 140.74 : x
  2. Step 2: Convert to fraction form
    159.25/219.30 = 140.74/x
  3. Step 3: Cross multiply
    159.25x = 219.30 × 140.74
  4. Step 4: Simplify right side
    159.25x = 30,864.28
  5. Step 5: Solve for x
    x = 30,864.28/159.25
  6. Step 6: Final answer
    x = 193.81

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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.