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Finding the Fourth Proportional to 196.29, 294.42 and 52.02

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Solution

The fourth proportional to 196.29, 294.42 and 52.02 is: 78.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.29 : 294.42 = 52.02 : x
  2. Step 2: Convert to fraction form
    196.29/294.42 = 52.02/x
  3. Step 3: Cross multiply
    196.29x = 294.42 × 52.02
  4. Step 4: Simplify right side
    196.29x = 15,316.20
  5. Step 5: Solve for x
    x = 15,316.20/196.29
  6. Step 6: Final answer
    x = 78.03

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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.