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Finding the Fourth Proportional to 280.95, 387.71 and 154.92

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Solution

The fourth proportional to 280.95, 387.71 and 154.92 is: 213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.95 : 387.71 = 154.92 : x
  2. Step 2: Convert to fraction form
    280.95/387.71 = 154.92/x
  3. Step 3: Cross multiply
    280.95x = 387.71 × 154.92
  4. Step 4: Simplify right side
    280.95x = 60,061.32
  5. Step 5: Solve for x
    x = 60,061.32/280.95
  6. Step 6: Final answer
    x = 213.78

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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.