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Finding the Fourth Proportional to 262.20, 392.84 and 140.09

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Solution

The fourth proportional to 262.20, 392.84 and 140.09 is: 209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.20 : 392.84 = 140.09 : x
  2. Step 2: Convert to fraction form
    262.20/392.84 = 140.09/x
  3. Step 3: Cross multiply
    262.20x = 392.84 × 140.09
  4. Step 4: Simplify right side
    262.20x = 55,030.29
  5. Step 5: Solve for x
    x = 55,030.29/262.20
  6. Step 6: Final answer
    x = 209.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.