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Finding the Fourth Proportional to 559.48, 838.93 and 194.22

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Solution

The fourth proportional to 559.48, 838.93 and 194.22 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.48 : 838.93 = 194.22 : x
  2. Step 2: Convert to fraction form
    559.48/838.93 = 194.22/x
  3. Step 3: Cross multiply
    559.48x = 838.93 × 194.22
  4. Step 4: Simplify right side
    559.48x = 162,936.98
  5. Step 5: Solve for x
    x = 162,936.98/559.48
  6. Step 6: Final answer
    x = 291.23

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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.