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Finding the Fourth Proportional to 231.19, 319.05 and 132.97

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Solution

The fourth proportional to 231.19, 319.05 and 132.97 is: 183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.19 : 319.05 = 132.97 : x
  2. Step 2: Convert to fraction form
    231.19/319.05 = 132.97/x
  3. Step 3: Cross multiply
    231.19x = 319.05 × 132.97
  4. Step 4: Simplify right side
    231.19x = 42,424.21
  5. Step 5: Solve for x
    x = 42,424.21/231.19
  6. Step 6: Final answer
    x = 183.51

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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.