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Finding the Fourth Proportional to 654.86, 982.33 and 221.98

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Solution

The fourth proportional to 654.86, 982.33 and 221.98 is: 332.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.86 : 982.33 = 221.98 : x
  2. Step 2: Convert to fraction form
    654.86/982.33 = 221.98/x
  3. Step 3: Cross multiply
    654.86x = 982.33 × 221.98
  4. Step 4: Simplify right side
    654.86x = 218,057.61
  5. Step 5: Solve for x
    x = 218,057.61/654.86
  6. Step 6: Final answer
    x = 332.98

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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.