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Finding the Fourth Proportional to 231.32, 319.20 and 142.81

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Solution

The fourth proportional to 231.32, 319.20 and 142.81 is: 197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.32 : 319.20 = 142.81 : x
  2. Step 2: Convert to fraction form
    231.32/319.20 = 142.81/x
  3. Step 3: Cross multiply
    231.32x = 319.20 × 142.81
  4. Step 4: Simplify right side
    231.32x = 45,583.36
  5. Step 5: Solve for x
    x = 45,583.36/231.32
  6. Step 6: Final answer
    x = 197.06

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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.