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Finding the Fourth Proportional to 484.50, 726.84 and 196.14

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Solution

The fourth proportional to 484.50, 726.84 and 196.14 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.50 : 726.84 = 196.14 : x
  2. Step 2: Convert to fraction form
    484.50/726.84 = 196.14/x
  3. Step 3: Cross multiply
    484.50x = 726.84 × 196.14
  4. Step 4: Simplify right side
    484.50x = 142,562.40
  5. Step 5: Solve for x
    x = 142,562.40/484.50
  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.