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Finding the Fourth Proportional to 559.21, 838.83 and 194.02

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Solution

The fourth proportional to 559.21, 838.83 and 194.02 is: 291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.21 : 838.83 = 194.02 : x
  2. Step 2: Convert to fraction form
    559.21/838.83 = 194.02/x
  3. Step 3: Cross multiply
    559.21x = 838.83 × 194.02
  4. Step 4: Simplify right side
    559.21x = 162,749.80
  5. Step 5: Solve for x
    x = 162,749.80/559.21
  6. Step 6: Final answer
    x = 291.04

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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.