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Finding the Fourth Proportional to 229.91, 316.47 and 200.75

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Solution

The fourth proportional to 229.91, 316.47 and 200.75 is: 276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.91 : 316.47 = 200.75 : x
  2. Step 2: Convert to fraction form
    229.91/316.47 = 200.75/x
  3. Step 3: Cross multiply
    229.91x = 316.47 × 200.75
  4. Step 4: Simplify right side
    229.91x = 63,531.35
  5. Step 5: Solve for x
    x = 63,531.35/229.91
  6. Step 6: Final answer
    x = 276.33

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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.