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Finding the Fourth Proportional to 440.15, 659.48 and 196.83

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Solution

The fourth proportional to 440.15, 659.48 and 196.83 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.15 : 659.48 = 196.83 : x
  2. Step 2: Convert to fraction form
    440.15/659.48 = 196.83/x
  3. Step 3: Cross multiply
    440.15x = 659.48 × 196.83
  4. Step 4: Simplify right side
    440.15x = 129,804.46
  5. Step 5: Solve for x
    x = 129,804.46/440.15
  6. Step 6: Final answer
    x = 294.91

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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.