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Finding the Fourth Proportional to 654.08, 981.12 and 221.12

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Solution

The fourth proportional to 654.08, 981.12 and 221.12 is: 331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.08 : 981.12 = 221.12 : x
  2. Step 2: Convert to fraction form
    654.08/981.12 = 221.12/x
  3. Step 3: Cross multiply
    654.08x = 981.12 × 221.12
  4. Step 4: Simplify right side
    654.08x = 216,945.25
  5. Step 5: Solve for x
    x = 216,945.25/654.08
  6. Step 6: Final answer
    x = 331.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.