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Finding the Fourth Proportional to 240.30, 330.89 and 196.56

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Solution

The fourth proportional to 240.30, 330.89 and 196.56 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.30 : 330.89 = 196.56 : x
  2. Step 2: Convert to fraction form
    240.30/330.89 = 196.56/x
  3. Step 3: Cross multiply
    240.30x = 330.89 × 196.56
  4. Step 4: Simplify right side
    240.30x = 65,038.76
  5. Step 5: Solve for x
    x = 65,038.76/240.30
  6. Step 6: Final answer
    x = 270.66

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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.