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Finding the Fourth Proportional to 231.18, 319.03 and 126.27

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Solution

The fourth proportional to 231.18, 319.03 and 126.27 is: 174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.18 : 319.03 = 126.27 : x
  2. Step 2: Convert to fraction form
    231.18/319.03 = 126.27/x
  3. Step 3: Cross multiply
    231.18x = 319.03 × 126.27
  4. Step 4: Simplify right side
    231.18x = 40,282.71
  5. Step 5: Solve for x
    x = 40,282.71/231.18
  6. Step 6: Final answer
    x = 174.25

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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.