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Finding the Fourth Proportional to 196.02, 269.82 and 164.59

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Solution

The fourth proportional to 196.02, 269.82 and 164.59 is: 226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.02 : 269.82 = 164.59 : x
  2. Step 2: Convert to fraction form
    196.02/269.82 = 164.59/x
  3. Step 3: Cross multiply
    196.02x = 269.82 × 164.59
  4. Step 4: Simplify right side
    196.02x = 44,409.67
  5. Step 5: Solve for x
    x = 44,409.67/196.02
  6. Step 6: Final answer
    x = 226.56

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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.