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Finding the Fourth Proportional to 215.34, 324.44 and 213.53

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Solution

The fourth proportional to 215.34, 324.44 and 213.53 is: 321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.34 : 324.44 = 213.53 : x
  2. Step 2: Convert to fraction form
    215.34/324.44 = 213.53/x
  3. Step 3: Cross multiply
    215.34x = 324.44 × 213.53
  4. Step 4: Simplify right side
    215.34x = 69,274.98
  5. Step 5: Solve for x
    x = 69,274.98/215.34
  6. Step 6: Final answer
    x = 321.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.