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Finding the Fourth Proportional to 229.85, 316.87 and 167.68

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Solution

The fourth proportional to 229.85, 316.87 and 167.68 is: 231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.85 : 316.87 = 167.68 : x
  2. Step 2: Convert to fraction form
    229.85/316.87 = 167.68/x
  3. Step 3: Cross multiply
    229.85x = 316.87 × 167.68
  4. Step 4: Simplify right side
    229.85x = 53,131.55
  5. Step 5: Solve for x
    x = 53,131.55/229.85
  6. Step 6: Final answer
    x = 231.16

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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.