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Finding the Fourth Proportional to 280.92, 387.54 and 203.16

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Solution

The fourth proportional to 280.92, 387.54 and 203.16 is: 280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.92 : 387.54 = 203.16 : x
  2. Step 2: Convert to fraction form
    280.92/387.54 = 203.16/x
  3. Step 3: Cross multiply
    280.92x = 387.54 × 203.16
  4. Step 4: Simplify right side
    280.92x = 78,732.63
  5. Step 5: Solve for x
    x = 78,732.63/280.92
  6. Step 6: Final answer
    x = 280.27

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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.