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Finding the Fourth Proportional to 262.20, 392.88 and 140.10

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Solution

The fourth proportional to 262.20, 392.88 and 140.10 is: 209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.20 : 392.88 = 140.10 : x
  2. Step 2: Convert to fraction form
    262.20/392.88 = 140.10/x
  3. Step 3: Cross multiply
    262.20x = 392.88 × 140.10
  4. Step 4: Simplify right side
    262.20x = 55,042.49
  5. Step 5: Solve for x
    x = 55,042.49/262.20
  6. Step 6: Final answer
    x = 209.93

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