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Finding the Fourth Proportional to 229.22, 316.26 and 159.56

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Solution

The fourth proportional to 229.22, 316.26 and 159.56 is: 220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.22 : 316.26 = 159.56 : x
  2. Step 2: Convert to fraction form
    229.22/316.26 = 159.56/x
  3. Step 3: Cross multiply
    229.22x = 316.26 × 159.56
  4. Step 4: Simplify right side
    229.22x = 50,462.45
  5. Step 5: Solve for x
    x = 50,462.45/229.22
  6. Step 6: Final answer
    x = 220.15

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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.