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Finding the Fourth Proportional to 549.87, 824.67 and 159.86

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Solution

The fourth proportional to 549.87, 824.67 and 159.86 is: 239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.87 : 824.67 = 159.86 : x
  2. Step 2: Convert to fraction form
    549.87/824.67 = 159.86/x
  3. Step 3: Cross multiply
    549.87x = 824.67 × 159.86
  4. Step 4: Simplify right side
    549.87x = 131,831.75
  5. Step 5: Solve for x
    x = 131,831.75/549.87
  6. Step 6: Final answer
    x = 239.75

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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.