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Finding the Fourth Proportional to 369.63, 553.98 and 196.20

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Solution

The fourth proportional to 369.63, 553.98 and 196.20 is: 294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.63 : 553.98 = 196.20 : x
  2. Step 2: Convert to fraction form
    369.63/553.98 = 196.20/x
  3. Step 3: Cross multiply
    369.63x = 553.98 × 196.20
  4. Step 4: Simplify right side
    369.63x = 108,690.88
  5. Step 5: Solve for x
    x = 108,690.88/369.63
  6. Step 6: Final answer
    x = 294.05

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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.