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Finding the Fourth Proportional to 324.76, 487.36 and 132.42

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Solution

The fourth proportional to 324.76, 487.36 and 132.42 is: 198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.76 : 487.36 = 132.42 : x
  2. Step 2: Convert to fraction form
    324.76/487.36 = 132.42/x
  3. Step 3: Cross multiply
    324.76x = 487.36 × 132.42
  4. Step 4: Simplify right side
    324.76x = 64,536.21
  5. Step 5: Solve for x
    x = 64,536.21/324.76
  6. Step 6: Final answer
    x = 198.72

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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.