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Finding the Fourth Proportional to 196.83, 269.96 and 186.93

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Solution

The fourth proportional to 196.83, 269.96 and 186.93 is: 256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 269.96 = 186.93 : x
  2. Step 2: Convert to fraction form
    196.83/269.96 = 186.93/x
  3. Step 3: Cross multiply
    196.83x = 269.96 × 186.93
  4. Step 4: Simplify right side
    196.83x = 50,462.69
  5. Step 5: Solve for x
    x = 50,462.69/196.83
  6. Step 6: Final answer
    x = 256.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.