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Finding the Fourth Proportional to 280.97, 387.89 and 176.12

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Solution

The fourth proportional to 280.97, 387.89 and 176.12 is: 243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 387.89 = 176.12 : x
  2. Step 2: Convert to fraction form
    280.97/387.89 = 176.12/x
  3. Step 3: Cross multiply
    280.97x = 387.89 × 176.12
  4. Step 4: Simplify right side
    280.97x = 68,316.66
  5. Step 5: Solve for x
    x = 68,316.66/280.97
  6. Step 6: Final answer
    x = 243.15

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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.