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Finding the Fourth Proportional to 229.34, 315.96 and 159.14

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Solution

The fourth proportional to 229.34, 315.96 and 159.14 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.34 : 315.96 = 159.14 : x
  2. Step 2: Convert to fraction form
    229.34/315.96 = 159.14/x
  3. Step 3: Cross multiply
    229.34x = 315.96 × 159.14
  4. Step 4: Simplify right side
    229.34x = 50,281.87
  5. Step 5: Solve for x
    x = 50,281.87/229.34
  6. Step 6: Final answer
    x = 219.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.