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Finding the Fourth Proportional to 654.94, 982.68 and 221.86

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Solution

The fourth proportional to 654.94, 982.68 and 221.86 is: 332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.94 : 982.68 = 221.86 : x
  2. Step 2: Convert to fraction form
    654.94/982.68 = 221.86/x
  3. Step 3: Cross multiply
    654.94x = 982.68 × 221.86
  4. Step 4: Simplify right side
    654.94x = 218,017.38
  5. Step 5: Solve for x
    x = 218,017.38/654.94
  6. Step 6: Final answer
    x = 332.88

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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.