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Finding the Fourth Proportional to 240.76, 361 and 96.31

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Solution

The fourth proportional to 240.76, 361 and 96.31 is: 144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.76 : 361 = 96.31 : x
  2. Step 2: Convert to fraction form
    240.76/361 = 96.31/x
  3. Step 3: Cross multiply
    240.76x = 361 × 96.31
  4. Step 4: Simplify right side
    240.76x = 34,767.91
  5. Step 5: Solve for x
    x = 34,767.91/240.76
  6. Step 6: Final answer
    x = 144.41

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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.