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Finding the Fourth Proportional to 324.52, 486.78 and 132.14

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Solution

The fourth proportional to 324.52, 486.78 and 132.14 is: 198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.52 : 486.78 = 132.14 : x
  2. Step 2: Convert to fraction form
    324.52/486.78 = 132.14/x
  3. Step 3: Cross multiply
    324.52x = 486.78 × 132.14
  4. Step 4: Simplify right side
    324.52x = 64,323.11
  5. Step 5: Solve for x
    x = 64,323.11/324.52
  6. Step 6: Final answer
    x = 198.21

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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.