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Finding the Fourth Proportional to 559.86, 839.78 and 194.68

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Solution

The fourth proportional to 559.86, 839.78 and 194.68 is: 292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.86 : 839.78 = 194.68 : x
  2. Step 2: Convert to fraction form
    559.86/839.78 = 194.68/x
  3. Step 3: Cross multiply
    559.86x = 839.78 × 194.68
  4. Step 4: Simplify right side
    559.86x = 163,488.37
  5. Step 5: Solve for x
    x = 163,488.37/559.86
  6. Step 6: Final answer
    x = 292.02

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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.