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Finding the Fourth Proportional to 196.31, 294.92 and 181.28

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Solution

The fourth proportional to 196.31, 294.92 and 181.28 is: 272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.31 : 294.92 = 181.28 : x
  2. Step 2: Convert to fraction form
    196.31/294.92 = 181.28/x
  3. Step 3: Cross multiply
    196.31x = 294.92 × 181.28
  4. Step 4: Simplify right side
    196.31x = 53,463.10
  5. Step 5: Solve for x
    x = 53,463.10/196.31
  6. Step 6: Final answer
    x = 272.34

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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.