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Finding the Fourth Proportional to 231.24, 319.02 and 142.66

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Solution

The fourth proportional to 231.24, 319.02 and 142.66 is: 196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.24 : 319.02 = 142.66 : x
  2. Step 2: Convert to fraction form
    231.24/319.02 = 142.66/x
  3. Step 3: Cross multiply
    231.24x = 319.02 × 142.66
  4. Step 4: Simplify right side
    231.24x = 45,512.06
  5. Step 5: Solve for x
    x = 45,512.06/231.24
  6. Step 6: Final answer
    x = 196.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.