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Finding the Fourth Proportional to 215.12, 321.72 and 128.22

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Solution

The fourth proportional to 215.12, 321.72 and 128.22 is: 191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.12 : 321.72 = 128.22 : x
  2. Step 2: Convert to fraction form
    215.12/321.72 = 128.22/x
  3. Step 3: Cross multiply
    215.12x = 321.72 × 128.22
  4. Step 4: Simplify right side
    215.12x = 41,250.94
  5. Step 5: Solve for x
    x = 41,250.94/215.12
  6. Step 6: Final answer
    x = 191.76

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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.