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Finding the Fourth Proportional to 562.09, 843.18 and 196.91

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Solution

The fourth proportional to 562.09, 843.18 and 196.91 is: 295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.09 : 843.18 = 196.91 : x
  2. Step 2: Convert to fraction form
    562.09/843.18 = 196.91/x
  3. Step 3: Cross multiply
    562.09x = 843.18 × 196.91
  4. Step 4: Simplify right side
    562.09x = 166,028.07
  5. Step 5: Solve for x
    x = 166,028.07/562.09
  6. Step 6: Final answer
    x = 295.38

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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.