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Finding the Fourth Proportional to 539, 808.50 and 174.10

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Solution

The fourth proportional to 539, 808.50 and 174.10 is: 261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    539 : 808.50 = 174.10 : x
  2. Step 2: Convert to fraction form
    539/808.50 = 174.10/x
  3. Step 3: Cross multiply
    539x = 808.50 × 174.10
  4. Step 4: Simplify right side
    539x = 140,759.85
  5. Step 5: Solve for x
    x = 140,759.85/539
  6. Step 6: Final answer
    x = 261.15

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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.