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Finding the Fourth Proportional to 215.43, 323.14 and 78.44

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Solution

The fourth proportional to 215.43, 323.14 and 78.44 is: 117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.43 : 323.14 = 78.44 : x
  2. Step 2: Convert to fraction form
    215.43/323.14 = 78.44/x
  3. Step 3: Cross multiply
    215.43x = 323.14 × 78.44
  4. Step 4: Simplify right side
    215.43x = 25,347.10
  5. Step 5: Solve for x
    x = 25,347.10/215.43
  6. Step 6: Final answer
    x = 117.66

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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.