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Finding the Fourth Proportional to 203.09, 280.22 and 115.74

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Solution

The fourth proportional to 203.09, 280.22 and 115.74 is: 159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.09 : 280.22 = 115.74 : x
  2. Step 2: Convert to fraction form
    203.09/280.22 = 115.74/x
  3. Step 3: Cross multiply
    203.09x = 280.22 × 115.74
  4. Step 4: Simplify right side
    203.09x = 32,432.08
  5. Step 5: Solve for x
    x = 32,432.08/203.09
  6. Step 6: Final answer
    x = 159.70

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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.