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Finding the Fourth Proportional to 221.63, 332.16 and 106.13

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Solution

The fourth proportional to 221.63, 332.16 and 106.13 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.63 : 332.16 = 106.13 : x
  2. Step 2: Convert to fraction form
    221.63/332.16 = 106.13/x
  3. Step 3: Cross multiply
    221.63x = 332.16 × 106.13
  4. Step 4: Simplify right side
    221.63x = 35,250.48
  5. Step 5: Solve for x
    x = 35,250.48/221.63
  6. Step 6: Final answer
    x = 159.05

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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.