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Finding the Fourth Proportional to 229.56, 316.52 and 199.95

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Solution

The fourth proportional to 229.56, 316.52 and 199.95 is: 275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.56 : 316.52 = 199.95 : x
  2. Step 2: Convert to fraction form
    229.56/316.52 = 199.95/x
  3. Step 3: Cross multiply
    229.56x = 316.52 × 199.95
  4. Step 4: Simplify right side
    229.56x = 63,286.17
  5. Step 5: Solve for x
    x = 63,286.17/229.56
  6. Step 6: Final answer
    x = 275.68

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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.