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Finding the Fourth Proportional to 221.31, 332.08 and 98.00

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Solution

The fourth proportional to 221.31, 332.08 and 98.00 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.31 : 332.08 = 98.00 : x
  2. Step 2: Convert to fraction form
    221.31/332.08 = 98.00/x
  3. Step 3: Cross multiply
    221.31x = 332.08 × 98.00
  4. Step 4: Simplify right side
    221.31x = 32,543.73
  5. Step 5: Solve for x
    x = 32,543.73/221.31
  6. Step 6: Final answer
    x = 147.05

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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.