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Finding the Fourth Proportional to 659.49, 989.33 and 197.21

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Solution

The fourth proportional to 659.49, 989.33 and 197.21 is: 295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.49 : 989.33 = 197.21 : x
  2. Step 2: Convert to fraction form
    659.49/989.33 = 197.21/x
  3. Step 3: Cross multiply
    659.49x = 989.33 × 197.21
  4. Step 4: Simplify right side
    659.49x = 195,107.26
  5. Step 5: Solve for x
    x = 195,107.26/659.49
  6. Step 6: Final answer
    x = 295.85

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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.