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Finding the Fourth Proportional to 324.45, 486.81 and 187.56

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Solution

The fourth proportional to 324.45, 486.81 and 187.56 is: 281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.45 : 486.81 = 187.56 : x
  2. Step 2: Convert to fraction form
    324.45/486.81 = 187.56/x
  3. Step 3: Cross multiply
    324.45x = 486.81 × 187.56
  4. Step 4: Simplify right side
    324.45x = 91,306.08
  5. Step 5: Solve for x
    x = 91,306.08/324.45
  6. Step 6: Final answer
    x = 281.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.