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Finding the Fourth Proportional to 196.20, 293.34 and 166.11

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Solution

The fourth proportional to 196.20, 293.34 and 166.11 is: 248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 293.34 = 166.11 : x
  2. Step 2: Convert to fraction form
    196.20/293.34 = 166.11/x
  3. Step 3: Cross multiply
    196.20x = 293.34 × 166.11
  4. Step 4: Simplify right side
    196.20x = 48,726.71
  5. Step 5: Solve for x
    x = 48,726.71/196.20
  6. Step 6: Final answer
    x = 248.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.