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Finding the Fourth Proportional to 196.32, 294.46 and 68.06

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Solution

The fourth proportional to 196.32, 294.46 and 68.06 is: 102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.32 : 294.46 = 68.06 : x
  2. Step 2: Convert to fraction form
    196.32/294.46 = 68.06/x
  3. Step 3: Cross multiply
    196.32x = 294.46 × 68.06
  4. Step 4: Simplify right side
    196.32x = 20,040.95
  5. Step 5: Solve for x
    x = 20,040.95/196.32
  6. Step 6: Final answer
    x = 102.08

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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.