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Finding the Fourth Proportional to 221.63, 332.30 and 106.00

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Solution

The fourth proportional to 221.63, 332.30 and 106.00 is: 158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.63 : 332.30 = 106.00 : x
  2. Step 2: Convert to fraction form
    221.63/332.30 = 106.00/x
  3. Step 3: Cross multiply
    221.63x = 332.30 × 106.00
  4. Step 4: Simplify right side
    221.63x = 35,222.44
  5. Step 5: Solve for x
    x = 35,222.44/221.63
  6. Step 6: Final answer
    x = 158.92

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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.