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Finding the Fourth Proportional to 654.74, 982.25 and 221.90

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Solution

The fourth proportional to 654.74, 982.25 and 221.90 is: 332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.74 : 982.25 = 221.90 : x
  2. Step 2: Convert to fraction form
    654.74/982.25 = 221.90/x
  3. Step 3: Cross multiply
    654.74x = 982.25 × 221.90
  4. Step 4: Simplify right side
    654.74x = 217,955.25
  5. Step 5: Solve for x
    x = 217,955.25/654.74
  6. Step 6: Final answer
    x = 332.89

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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.