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Finding the Fourth Proportional to 324.11, 486.20 and 118.70

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Solution

The fourth proportional to 324.11, 486.20 and 118.70 is: 178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.11 : 486.20 = 118.70 : x
  2. Step 2: Convert to fraction form
    324.11/486.20 = 118.70/x
  3. Step 3: Cross multiply
    324.11x = 486.20 × 118.70
  4. Step 4: Simplify right side
    324.11x = 57,711.35
  5. Step 5: Solve for x
    x = 57,711.35/324.11
  6. Step 6: Final answer
    x = 178.06

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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.