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Finding the Fourth Proportional to 203.38, 280.62 and 116.02

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Solution

The fourth proportional to 203.38, 280.62 and 116.02 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.38 : 280.62 = 116.02 : x
  2. Step 2: Convert to fraction form
    203.38/280.62 = 116.02/x
  3. Step 3: Cross multiply
    203.38x = 280.62 × 116.02
  4. Step 4: Simplify right side
    203.38x = 32,557.53
  5. Step 5: Solve for x
    x = 32,557.53/203.38
  6. Step 6: Final answer
    x = 160.08

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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.