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Finding the Fourth Proportional to 369.61, 554.02 and 196.17

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Solution

The fourth proportional to 369.61, 554.02 and 196.17 is: 294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.61 : 554.02 = 196.17 : x
  2. Step 2: Convert to fraction form
    369.61/554.02 = 196.17/x
  3. Step 3: Cross multiply
    369.61x = 554.02 × 196.17
  4. Step 4: Simplify right side
    369.61x = 108,678.35
  5. Step 5: Solve for x
    x = 108,678.35/369.61
  6. Step 6: Final answer
    x = 294.04

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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.