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Finding the Fourth Proportional to 369.84, 555.08 and 196.63

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Solution

The fourth proportional to 369.84, 555.08 and 196.63 is: 295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 555.08 = 196.63 : x
  2. Step 2: Convert to fraction form
    369.84/555.08 = 196.63/x
  3. Step 3: Cross multiply
    369.84x = 555.08 × 196.63
  4. Step 4: Simplify right side
    369.84x = 109,141.62
  5. Step 5: Solve for x
    x = 109,141.62/369.84
  6. Step 6: Final answer
    x = 295.10

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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.