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Finding the Fourth Proportional to 229.62, 316.46 and 174.22

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Solution

The fourth proportional to 229.62, 316.46 and 174.22 is: 240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.62 : 316.46 = 174.22 : x
  2. Step 2: Convert to fraction form
    229.62/316.46 = 174.22/x
  3. Step 3: Cross multiply
    229.62x = 316.46 × 174.22
  4. Step 4: Simplify right side
    229.62x = 55,133.66
  5. Step 5: Solve for x
    x = 55,133.66/229.62
  6. Step 6: Final answer
    x = 240.11

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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.