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Finding the Fourth Proportional to 215.90, 323.58 and 119.24

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Solution

The fourth proportional to 215.90, 323.58 and 119.24 is: 178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.90 : 323.58 = 119.24 : x
  2. Step 2: Convert to fraction form
    215.90/323.58 = 119.24/x
  3. Step 3: Cross multiply
    215.90x = 323.58 × 119.24
  4. Step 4: Simplify right side
    215.90x = 38,583.68
  5. Step 5: Solve for x
    x = 38,583.68/215.90
  6. Step 6: Final answer
    x = 178.71

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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.