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Finding the Fourth Proportional to 369.95, 555.23 and 196.82

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Solution

The fourth proportional to 369.95, 555.23 and 196.82 is: 295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.95 : 555.23 = 196.82 : x
  2. Step 2: Convert to fraction form
    369.95/555.23 = 196.82/x
  3. Step 3: Cross multiply
    369.95x = 555.23 × 196.82
  4. Step 4: Simplify right side
    369.95x = 109,278.08
  5. Step 5: Solve for x
    x = 109,278.08/369.95
  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.