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Finding the Fourth Proportional to 152.28, 209.64 and 140.76

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Solution

The fourth proportional to 152.28, 209.64 and 140.76 is: 193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.28 : 209.64 = 140.76 : x
  2. Step 2: Convert to fraction form
    152.28/209.64 = 140.76/x
  3. Step 3: Cross multiply
    152.28x = 209.64 × 140.76
  4. Step 4: Simplify right side
    152.28x = 29,508.93
  5. Step 5: Solve for x
    x = 29,508.93/152.28
  6. Step 6: Final answer
    x = 193.78

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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.