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Finding the Fourth Proportional to 549.67, 824.30 and 159.54

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Solution

The fourth proportional to 549.67, 824.30 and 159.54 is: 239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.67 : 824.30 = 159.54 : x
  2. Step 2: Convert to fraction form
    549.67/824.30 = 159.54/x
  3. Step 3: Cross multiply
    549.67x = 824.30 × 159.54
  4. Step 4: Simplify right side
    549.67x = 131,512.94
  5. Step 5: Solve for x
    x = 131,512.94/549.67
  6. Step 6: Final answer
    x = 239.26

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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.