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Finding the Fourth Proportional to 196.53, 294.77 and 52.24

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Solution

The fourth proportional to 196.53, 294.77 and 52.24 is: 78.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.53 : 294.77 = 52.24 : x
  2. Step 2: Convert to fraction form
    196.53/294.77 = 52.24/x
  3. Step 3: Cross multiply
    196.53x = 294.77 × 52.24
  4. Step 4: Simplify right side
    196.53x = 15,398.78
  5. Step 5: Solve for x
    x = 15,398.78/196.53
  6. Step 6: Final answer
    x = 78.35

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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.