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Finding the Fourth Proportional to 561.42, 842.22 and 196.14

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Solution

The fourth proportional to 561.42, 842.22 and 196.14 is: 294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 842.22 = 196.14 : x
  2. Step 2: Convert to fraction form
    561.42/842.22 = 196.14/x
  3. Step 3: Cross multiply
    561.42x = 842.22 × 196.14
  4. Step 4: Simplify right side
    561.42x = 165,193.03
  5. Step 5: Solve for x
    x = 165,193.03/561.42
  6. Step 6: Final answer
    x = 294.24

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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.