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Finding the Fourth Proportional to 215.24, 321.90 and 211.40

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Solution

The fourth proportional to 215.24, 321.90 and 211.40 is: 316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 321.90 = 211.40 : x
  2. Step 2: Convert to fraction form
    215.24/321.90 = 211.40/x
  3. Step 3: Cross multiply
    215.24x = 321.90 × 211.40
  4. Step 4: Simplify right side
    215.24x = 68,049.66
  5. Step 5: Solve for x
    x = 68,049.66/215.24
  6. Step 6: Final answer
    x = 316.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.