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Finding the Fourth Proportional to 231.36, 319.42 and 169.14

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Solution

The fourth proportional to 231.36, 319.42 and 169.14 is: 233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.36 : 319.42 = 169.14 : x
  2. Step 2: Convert to fraction form
    231.36/319.42 = 169.14/x
  3. Step 3: Cross multiply
    231.36x = 319.42 × 169.14
  4. Step 4: Simplify right side
    231.36x = 54,026.70
  5. Step 5: Solve for x
    x = 54,026.70/231.36
  6. Step 6: Final answer
    x = 233.52

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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.