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Finding the Fourth Proportional to 231.16, 319.06 and 142.68

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Solution

The fourth proportional to 231.16, 319.06 and 142.68 is: 196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.16 : 319.06 = 142.68 : x
  2. Step 2: Convert to fraction form
    231.16/319.06 = 142.68/x
  3. Step 3: Cross multiply
    231.16x = 319.06 × 142.68
  4. Step 4: Simplify right side
    231.16x = 45,523.48
  5. Step 5: Solve for x
    x = 45,523.48/231.16
  6. Step 6: Final answer
    x = 196.93

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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.