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Finding the Fourth Proportional to 561.38, 842.07 and 196.17

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Solution

The fourth proportional to 561.38, 842.07 and 196.17 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.38 : 842.07 = 196.17 : x
  2. Step 2: Convert to fraction form
    561.38/842.07 = 196.17/x
  3. Step 3: Cross multiply
    561.38x = 842.07 × 196.17
  4. Step 4: Simplify right side
    561.38x = 165,187.26
  5. Step 5: Solve for x
    x = 165,187.26/561.38
  6. Step 6: Final answer
    x = 294.25

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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.