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Finding the Fourth Proportional to 324.93, 487.42 and 119.45

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Solution

The fourth proportional to 324.93, 487.42 and 119.45 is: 179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.93 : 487.42 = 119.45 : x
  2. Step 2: Convert to fraction form
    324.93/487.42 = 119.45/x
  3. Step 3: Cross multiply
    324.93x = 487.42 × 119.45
  4. Step 4: Simplify right side
    324.93x = 58,221.40
  5. Step 5: Solve for x
    x = 58,221.40/324.93
  6. Step 6: Final answer
    x = 179.18

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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.