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Finding the Fourth Proportional to 231.28, 319.21 and 148.49

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Solution

The fourth proportional to 231.28, 319.21 and 148.49 is: 204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.28 : 319.21 = 148.49 : x
  2. Step 2: Convert to fraction form
    231.28/319.21 = 148.49/x
  3. Step 3: Cross multiply
    231.28x = 319.21 × 148.49
  4. Step 4: Simplify right side
    231.28x = 47,398.72
  5. Step 5: Solve for x
    x = 47,398.72/231.28
  6. Step 6: Final answer
    x = 204.94

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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.