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Finding the Fourth Proportional to 196.31, 294.46 and 74.58

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Solution

The fourth proportional to 196.31, 294.46 and 74.58 is: 111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.31 : 294.46 = 74.58 : x
  2. Step 2: Convert to fraction form
    196.31/294.46 = 74.58/x
  3. Step 3: Cross multiply
    196.31x = 294.46 × 74.58
  4. Step 4: Simplify right side
    196.31x = 21,959.54
  5. Step 5: Solve for x
    x = 21,959.54/196.31
  6. Step 6: Final answer
    x = 111.86

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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.