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Finding the Fourth Proportional to 559.17, 838.86 and 194.00

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Solution

The fourth proportional to 559.17, 838.86 and 194.00 is: 291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.17 : 838.86 = 194.00 : x
  2. Step 2: Convert to fraction form
    559.17/838.86 = 194.00/x
  3. Step 3: Cross multiply
    559.17x = 838.86 × 194.00
  4. Step 4: Simplify right side
    559.17x = 162,738.52
  5. Step 5: Solve for x
    x = 162,738.52/559.17
  6. Step 6: Final answer
    x = 291.03

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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.