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Finding the Fourth Proportional to 280.97, 387.70 and 162.97

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Solution

The fourth proportional to 280.97, 387.70 and 162.97 is: 224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 387.70 = 162.97 : x
  2. Step 2: Convert to fraction form
    280.97/387.70 = 162.97/x
  3. Step 3: Cross multiply
    280.97x = 387.70 × 162.97
  4. Step 4: Simplify right side
    280.97x = 63,183.47
  5. Step 5: Solve for x
    x = 63,183.47/280.97
  6. Step 6: Final answer
    x = 224.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.