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Finding the Fourth Proportional to 324.20, 485.66 and 187.16

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Solution

The fourth proportional to 324.20, 485.66 and 187.16 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.20 : 485.66 = 187.16 : x
  2. Step 2: Convert to fraction form
    324.20/485.66 = 187.16/x
  3. Step 3: Cross multiply
    324.20x = 485.66 × 187.16
  4. Step 4: Simplify right side
    324.20x = 90,896.13
  5. Step 5: Solve for x
    x = 90,896.13/324.20
  6. Step 6: Final answer
    x = 280.37

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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.