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Finding the Fourth Proportional to 369.62, 554.15 and 196.07

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Solution

The fourth proportional to 369.62, 554.15 and 196.07 is: 293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.62 : 554.15 = 196.07 : x
  2. Step 2: Convert to fraction form
    369.62/554.15 = 196.07/x
  3. Step 3: Cross multiply
    369.62x = 554.15 × 196.07
  4. Step 4: Simplify right side
    369.62x = 108,648.44
  5. Step 5: Solve for x
    x = 108,648.44/369.62
  6. Step 6: Final answer
    x = 293.95

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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.