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Finding the Fourth Proportional to 196.08, 270.40 and 166.56

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Solution

The fourth proportional to 196.08, 270.40 and 166.56 is: 229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.08 : 270.40 = 166.56 : x
  2. Step 2: Convert to fraction form
    196.08/270.40 = 166.56/x
  3. Step 3: Cross multiply
    196.08x = 270.40 × 166.56
  4. Step 4: Simplify right side
    196.08x = 45,037.82
  5. Step 5: Solve for x
    x = 45,037.82/196.08
  6. Step 6: Final answer
    x = 229.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.