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Finding the Fourth Proportional to 280.62, 387.27 and 239.16

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Solution

The fourth proportional to 280.62, 387.27 and 239.16 is: 330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.62 : 387.27 = 239.16 : x
  2. Step 2: Convert to fraction form
    280.62/387.27 = 239.16/x
  3. Step 3: Cross multiply
    280.62x = 387.27 × 239.16
  4. Step 4: Simplify right side
    280.62x = 92,619.49
  5. Step 5: Solve for x
    x = 92,619.49/280.62
  6. Step 6: Final answer
    x = 330.05

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Why These Related Problems?

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