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Finding the Fourth Proportional to 324.89, 487.48 and 160.35

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Solution

The fourth proportional to 324.89, 487.48 and 160.35 is: 240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.89 : 487.48 = 160.35 : x
  2. Step 2: Convert to fraction form
    324.89/487.48 = 160.35/x
  3. Step 3: Cross multiply
    324.89x = 487.48 × 160.35
  4. Step 4: Simplify right side
    324.89x = 78,168.67
  5. Step 5: Solve for x
    x = 78,168.67/324.89
  6. Step 6: Final answer
    x = 240.60

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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.