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Finding the Fourth Proportional to 440.03, 660.09 and 196.22

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Solution

The fourth proportional to 440.03, 660.09 and 196.22 is: 294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.03 : 660.09 = 196.22 : x
  2. Step 2: Convert to fraction form
    440.03/660.09 = 196.22/x
  3. Step 3: Cross multiply
    440.03x = 660.09 × 196.22
  4. Step 4: Simplify right side
    440.03x = 129,522.86
  5. Step 5: Solve for x
    x = 129,522.86/440.03
  6. Step 6: Final answer
    x = 294.35

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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.