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Finding the Fourth Proportional to 440.42, 660.69 and 197.15

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Solution

The fourth proportional to 440.42, 660.69 and 197.15 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.42 : 660.69 = 197.15 : x
  2. Step 2: Convert to fraction form
    440.42/660.69 = 197.15/x
  3. Step 3: Cross multiply
    440.42x = 660.69 × 197.15
  4. Step 4: Simplify right side
    440.42x = 130,251.73
  5. Step 5: Solve for x
    x = 130,251.73/440.42
  6. Step 6: Final answer
    x = 295.75

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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.