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Finding the Fourth Proportional to 369.71, 554.65 and 196.49

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Solution

The fourth proportional to 369.71, 554.65 and 196.49 is: 294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.71 : 554.65 = 196.49 : x
  2. Step 2: Convert to fraction form
    369.71/554.65 = 196.49/x
  3. Step 3: Cross multiply
    369.71x = 554.65 × 196.49
  4. Step 4: Simplify right side
    369.71x = 108,979.91
  5. Step 5: Solve for x
    x = 108,979.91/369.71
  6. Step 6: Final answer
    x = 294.77

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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.