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Finding the Fourth Proportional to 280.17, 386.63 and 155.83

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Solution

The fourth proportional to 280.17, 386.63 and 155.83 is: 215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.17 : 386.63 = 155.83 : x
  2. Step 2: Convert to fraction form
    280.17/386.63 = 155.83/x
  3. Step 3: Cross multiply
    280.17x = 386.63 × 155.83
  4. Step 4: Simplify right side
    280.17x = 60,248.55
  5. Step 5: Solve for x
    x = 60,248.55/280.17
  6. Step 6: Final answer
    x = 215.04

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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.