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Finding the Fourth Proportional to 659.84, 989.82 and 221.12

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Solution

The fourth proportional to 659.84, 989.82 and 221.12 is: 331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.84 : 989.82 = 221.12 : x
  2. Step 2: Convert to fraction form
    659.84/989.82 = 221.12/x
  3. Step 3: Cross multiply
    659.84x = 989.82 × 221.12
  4. Step 4: Simplify right side
    659.84x = 218,869.00
  5. Step 5: Solve for x
    x = 218,869.00/659.84
  6. Step 6: Final answer
    x = 331.70

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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.