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Finding the Fourth Proportional to 559.18, 839.02 and 194.23

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Solution

The fourth proportional to 559.18, 839.02 and 194.23 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.18 : 839.02 = 194.23 : x
  2. Step 2: Convert to fraction form
    559.18/839.02 = 194.23/x
  3. Step 3: Cross multiply
    559.18x = 839.02 × 194.23
  4. Step 4: Simplify right side
    559.18x = 162,963.78
  5. Step 5: Solve for x
    x = 162,963.78/559.18
  6. Step 6: Final answer
    x = 291.43

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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.