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Finding the Fourth Proportional to 324.24, 486.40 and 187.14

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Solution

The fourth proportional to 324.24, 486.40 and 187.14 is: 280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 486.40 = 187.14 : x
  2. Step 2: Convert to fraction form
    324.24/486.40 = 187.14/x
  3. Step 3: Cross multiply
    324.24x = 486.40 × 187.14
  4. Step 4: Simplify right side
    324.24x = 91,024.90
  5. Step 5: Solve for x
    x = 91,024.90/324.24
  6. Step 6: Final answer
    x = 280.73

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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.