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Finding the Fourth Proportional to 215.90, 323.97 and 94.14

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Solution

The fourth proportional to 215.90, 323.97 and 94.14 is: 141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.90 : 323.97 = 94.14 : x
  2. Step 2: Convert to fraction form
    215.90/323.97 = 94.14/x
  3. Step 3: Cross multiply
    215.90x = 323.97 × 94.14
  4. Step 4: Simplify right side
    215.90x = 30,498.54
  5. Step 5: Solve for x
    x = 30,498.54/215.90
  6. Step 6: Final answer
    x = 141.26

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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.