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Finding the Fourth Proportional to 324.66, 487.01 and 119.10

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Solution

The fourth proportional to 324.66, 487.01 and 119.10 is: 178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.66 : 487.01 = 119.10 : x
  2. Step 2: Convert to fraction form
    324.66/487.01 = 119.10/x
  3. Step 3: Cross multiply
    324.66x = 487.01 × 119.10
  4. Step 4: Simplify right side
    324.66x = 58,002.30
  5. Step 5: Solve for x
    x = 58,002.30/324.66
  6. Step 6: Final answer
    x = 178.66

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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.