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Finding the Fourth Proportional to 215.49, 323.22 and 61.43

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Solution

The fourth proportional to 215.49, 323.22 and 61.43 is: 92.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.49 : 323.22 = 61.43 : x
  2. Step 2: Convert to fraction form
    215.49/323.22 = 61.43/x
  3. Step 3: Cross multiply
    215.49x = 323.22 × 61.43
  4. Step 4: Simplify right side
    215.49x = 19,855.40
  5. Step 5: Solve for x
    x = 19,855.40/215.49
  6. Step 6: Final answer
    x = 92.14

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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.