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Finding the Fourth Proportional to 562.14, 842.94 and 196.95

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Solution

The fourth proportional to 562.14, 842.94 and 196.95 is: 295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.14 : 842.94 = 196.95 : x
  2. Step 2: Convert to fraction form
    562.14/842.94 = 196.95/x
  3. Step 3: Cross multiply
    562.14x = 842.94 × 196.95
  4. Step 4: Simplify right side
    562.14x = 166,017.03
  5. Step 5: Solve for x
    x = 166,017.03/562.14
  6. Step 6: Final answer
    x = 295.33

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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.