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Finding the Fourth Proportional to 203.42, 280.69 and 116.12

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Solution

The fourth proportional to 203.42, 280.69 and 116.12 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.42 : 280.69 = 116.12 : x
  2. Step 2: Convert to fraction form
    203.42/280.69 = 116.12/x
  3. Step 3: Cross multiply
    203.42x = 280.69 × 116.12
  4. Step 4: Simplify right side
    203.42x = 32,594.13
  5. Step 5: Solve for x
    x = 32,594.13/203.42
  6. Step 6: Final answer
    x = 160.23

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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.