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Finding the Fourth Proportional to 360.92, 498 and 203.55

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Solution

The fourth proportional to 360.92, 498 and 203.55 is: 280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.92 : 498 = 203.55 : x
  2. Step 2: Convert to fraction form
    360.92/498 = 203.55/x
  3. Step 3: Cross multiply
    360.92x = 498 × 203.55
  4. Step 4: Simplify right side
    360.92x = 101,367.90
  5. Step 5: Solve for x
    x = 101,367.90/360.92
  6. Step 6: Final answer
    x = 280.86

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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.