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Finding the Fourth Proportional to 221.68, 332.31 and 106.07

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Solution

The fourth proportional to 221.68, 332.31 and 106.07 is: 159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.68 : 332.31 = 106.07 : x
  2. Step 2: Convert to fraction form
    221.68/332.31 = 106.07/x
  3. Step 3: Cross multiply
    221.68x = 332.31 × 106.07
  4. Step 4: Simplify right side
    221.68x = 35,246.46
  5. Step 5: Solve for x
    x = 35,246.46/221.68
  6. Step 6: Final answer
    x = 159.00

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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.