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Finding the Fourth Proportional to 324.55, 486.96 and 194.81

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Solution

The fourth proportional to 324.55, 486.96 and 194.81 is: 292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.55 : 486.96 = 194.81 : x
  2. Step 2: Convert to fraction form
    324.55/486.96 = 194.81/x
  3. Step 3: Cross multiply
    324.55x = 486.96 × 194.81
  4. Step 4: Simplify right side
    324.55x = 94,865.90
  5. Step 5: Solve for x
    x = 94,865.90/324.55
  6. Step 6: Final answer
    x = 292.30

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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.