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Finding the Fourth Proportional to 196.86, 296.16 and 166.14

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Solution

The fourth proportional to 196.86, 296.16 and 166.14 is: 249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.86 : 296.16 = 166.14 : x
  2. Step 2: Convert to fraction form
    196.86/296.16 = 166.14/x
  3. Step 3: Cross multiply
    196.86x = 296.16 × 166.14
  4. Step 4: Simplify right side
    196.86x = 49,204.02
  5. Step 5: Solve for x
    x = 49,204.02/196.86
  6. Step 6: Final answer
    x = 249.94

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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.