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Finding the Fourth Proportional to 324.17, 486.21 and 150.80

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Solution

The fourth proportional to 324.17, 486.21 and 150.80 is: 226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.17 : 486.21 = 150.80 : x
  2. Step 2: Convert to fraction form
    324.17/486.21 = 150.80/x
  3. Step 3: Cross multiply
    324.17x = 486.21 × 150.80
  4. Step 4: Simplify right side
    324.17x = 73,320.47
  5. Step 5: Solve for x
    x = 73,320.47/324.17
  6. Step 6: Final answer
    x = 226.18

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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.