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Finding the Fourth Proportional to 215.13, 321.12 and 199.68

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Solution

The fourth proportional to 215.13, 321.12 and 199.68 is: 298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.13 : 321.12 = 199.68 : x
  2. Step 2: Convert to fraction form
    215.13/321.12 = 199.68/x
  3. Step 3: Cross multiply
    215.13x = 321.12 × 199.68
  4. Step 4: Simplify right side
    215.13x = 64,121.24
  5. Step 5: Solve for x
    x = 64,121.24/215.13
  6. Step 6: Final answer
    x = 298.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.