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Finding the Fourth Proportional to 561.47, 842.21 and 196.26

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Solution

The fourth proportional to 561.47, 842.21 and 196.26 is: 294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.47 : 842.21 = 196.26 : x
  2. Step 2: Convert to fraction form
    561.47/842.21 = 196.26/x
  3. Step 3: Cross multiply
    561.47x = 842.21 × 196.26
  4. Step 4: Simplify right side
    561.47x = 165,289.83
  5. Step 5: Solve for x
    x = 165,289.83/561.47
  6. Step 6: Final answer
    x = 294.39

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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.