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Finding the Fourth Proportional to 539.67, 809.46 and 149.68

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Solution

The fourth proportional to 539.67, 809.46 and 149.68 is: 224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.67 : 809.46 = 149.68 : x
  2. Step 2: Convert to fraction form
    539.67/809.46 = 149.68/x
  3. Step 3: Cross multiply
    539.67x = 809.46 × 149.68
  4. Step 4: Simplify right side
    539.67x = 121,158.82
  5. Step 5: Solve for x
    x = 121,158.82/539.67
  6. Step 6: Final answer
    x = 224.51

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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.