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Finding the Fourth Proportional to 221.95, 332.86 and 106.33

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Solution

The fourth proportional to 221.95, 332.86 and 106.33 is: 159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.95 : 332.86 = 106.33 : x
  2. Step 2: Convert to fraction form
    221.95/332.86 = 106.33/x
  3. Step 3: Cross multiply
    221.95x = 332.86 × 106.33
  4. Step 4: Simplify right side
    221.95x = 35,393.00
  5. Step 5: Solve for x
    x = 35,393.00/221.95
  6. Step 6: Final answer
    x = 159.46

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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.