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Finding the Fourth Proportional to 280.96, 387.84 and 177.44

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Solution

The fourth proportional to 280.96, 387.84 and 177.44 is: 244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.96 : 387.84 = 177.44 : x
  2. Step 2: Convert to fraction form
    280.96/387.84 = 177.44/x
  3. Step 3: Cross multiply
    280.96x = 387.84 × 177.44
  4. Step 4: Simplify right side
    280.96x = 68,818.33
  5. Step 5: Solve for x
    x = 68,818.33/280.96
  6. Step 6: Final answer
    x = 244.94

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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.