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Finding the Fourth Proportional to 231.24, 346.09 and 140.11

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Solution

The fourth proportional to 231.24, 346.09 and 140.11 is: 209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.24 : 346.09 = 140.11 : x
  2. Step 2: Convert to fraction form
    231.24/346.09 = 140.11/x
  3. Step 3: Cross multiply
    231.24x = 346.09 × 140.11
  4. Step 4: Simplify right side
    231.24x = 48,490.67
  5. Step 5: Solve for x
    x = 48,490.67/231.24
  6. Step 6: Final answer
    x = 209.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.