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Finding the Fourth Proportional to 196.45, 294.67 and 50.20

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Solution

The fourth proportional to 196.45, 294.67 and 50.20 is: 75.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.45 : 294.67 = 50.20 : x
  2. Step 2: Convert to fraction form
    196.45/294.67 = 50.20/x
  3. Step 3: Cross multiply
    196.45x = 294.67 × 50.20
  4. Step 4: Simplify right side
    196.45x = 14,791.76
  5. Step 5: Solve for x
    x = 14,791.76/196.45
  6. Step 6: Final answer
    x = 75.30

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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.