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Finding the Fourth Proportional to 369.23, 554.17 and 196.02

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Solution

The fourth proportional to 369.23, 554.17 and 196.02 is: 294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.23 : 554.17 = 196.02 : x
  2. Step 2: Convert to fraction form
    369.23/554.17 = 196.02/x
  3. Step 3: Cross multiply
    369.23x = 554.17 × 196.02
  4. Step 4: Simplify right side
    369.23x = 108,627.42
  5. Step 5: Solve for x
    x = 108,627.42/369.23
  6. Step 6: Final answer
    x = 294.20

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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.