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Finding the Fourth Proportional to 654.75, 982.23 and 221.88

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Solution

The fourth proportional to 654.75, 982.23 and 221.88 is: 332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 982.23 = 221.88 : x
  2. Step 2: Convert to fraction form
    654.75/982.23 = 221.88/x
  3. Step 3: Cross multiply
    654.75x = 982.23 × 221.88
  4. Step 4: Simplify right side
    654.75x = 217,937.19
  5. Step 5: Solve for x
    x = 217,937.19/654.75
  6. Step 6: Final answer
    x = 332.86

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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.