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Finding the Fourth Proportional to 231.12, 319 and 132.92

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Solution

The fourth proportional to 231.12, 319 and 132.92 is: 183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.12 : 319 = 132.92 : x
  2. Step 2: Convert to fraction form
    231.12/319 = 132.92/x
  3. Step 3: Cross multiply
    231.12x = 319 × 132.92
  4. Step 4: Simplify right side
    231.12x = 42,401.48
  5. Step 5: Solve for x
    x = 42,401.48/231.12
  6. Step 6: Final answer
    x = 183.46

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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.