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Finding the Fourth Proportional to 324.68, 486.88 and 119.18

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Solution

The fourth proportional to 324.68, 486.88 and 119.18 is: 178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.68 : 486.88 = 119.18 : x
  2. Step 2: Convert to fraction form
    324.68/486.88 = 119.18/x
  3. Step 3: Cross multiply
    324.68x = 486.88 × 119.18
  4. Step 4: Simplify right side
    324.68x = 58,027.28
  5. Step 5: Solve for x
    x = 58,027.28/324.68
  6. Step 6: Final answer
    x = 178.72

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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.