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Finding the Fourth Proportional to 240.46, 357.87 and 231.82

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Solution

The fourth proportional to 240.46, 357.87 and 231.82 is: 345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.46 : 357.87 = 231.82 : x
  2. Step 2: Convert to fraction form
    240.46/357.87 = 231.82/x
  3. Step 3: Cross multiply
    240.46x = 357.87 × 231.82
  4. Step 4: Simplify right side
    240.46x = 82,961.42
  5. Step 5: Solve for x
    x = 82,961.42/240.46
  6. Step 6: Final answer
    x = 345.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.