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Finding the Fourth Proportional to 360.97, 498.14 and 203.59

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Solution

The fourth proportional to 360.97, 498.14 and 203.59 is: 280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.97 : 498.14 = 203.59 : x
  2. Step 2: Convert to fraction form
    360.97/498.14 = 203.59/x
  3. Step 3: Cross multiply
    360.97x = 498.14 × 203.59
  4. Step 4: Simplify right side
    360.97x = 101,415.30
  5. Step 5: Solve for x
    x = 101,415.30/360.97
  6. Step 6: Final answer
    x = 280.96

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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.