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Finding the Fourth Proportional to 240.04, 359.77 and 196.78

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Solution

The fourth proportional to 240.04, 359.77 and 196.78 is: 294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.04 : 359.77 = 196.78 : x
  2. Step 2: Convert to fraction form
    240.04/359.77 = 196.78/x
  3. Step 3: Cross multiply
    240.04x = 359.77 × 196.78
  4. Step 4: Simplify right side
    240.04x = 70,795.54
  5. Step 5: Solve for x
    x = 70,795.54/240.04
  6. Step 6: Final answer
    x = 294.93

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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.