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Finding the Fourth Proportional to 280.52, 387.18 and 182.30

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Solution

The fourth proportional to 280.52, 387.18 and 182.30 is: 251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.52 : 387.18 = 182.30 : x
  2. Step 2: Convert to fraction form
    280.52/387.18 = 182.30/x
  3. Step 3: Cross multiply
    280.52x = 387.18 × 182.30
  4. Step 4: Simplify right side
    280.52x = 70,582.91
  5. Step 5: Solve for x
    x = 70,582.91/280.52
  6. Step 6: Final answer
    x = 251.61

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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.