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Finding the Fourth Proportional to 196.44, 294.65 and 52.15

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Solution

The fourth proportional to 196.44, 294.65 and 52.15 is: 78.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.44 : 294.65 = 52.15 : x
  2. Step 2: Convert to fraction form
    196.44/294.65 = 52.15/x
  3. Step 3: Cross multiply
    196.44x = 294.65 × 52.15
  4. Step 4: Simplify right side
    196.44x = 15,367.44
  5. Step 5: Solve for x
    x = 15,367.44/196.44
  6. Step 6: Final answer
    x = 78.23

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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.