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Finding the Fourth Proportional to 324.61, 486.95 and 119.20

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Solution

The fourth proportional to 324.61, 486.95 and 119.20 is: 178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.61 : 486.95 = 119.20 : x
  2. Step 2: Convert to fraction form
    324.61/486.95 = 119.20/x
  3. Step 3: Cross multiply
    324.61x = 486.95 × 119.20
  4. Step 4: Simplify right side
    324.61x = 58,044.44
  5. Step 5: Solve for x
    x = 58,044.44/324.61
  6. Step 6: Final answer
    x = 178.81

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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.