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Finding the Fourth Proportional to 559.86, 839.90 and 169.88

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Solution

The fourth proportional to 559.86, 839.90 and 169.88 is: 254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.86 : 839.90 = 169.88 : x
  2. Step 2: Convert to fraction form
    559.86/839.90 = 169.88/x
  3. Step 3: Cross multiply
    559.86x = 839.90 × 169.88
  4. Step 4: Simplify right side
    559.86x = 142,677.16
  5. Step 5: Solve for x
    x = 142,677.16/559.86
  6. Step 6: Final answer
    x = 254.84

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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.