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Finding the Fourth Proportional to 196.86, 296.34 and 177

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Solution

The fourth proportional to 196.86, 296.34 and 177 is: 266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.86 : 296.34 = 177 : x
  2. Step 2: Convert to fraction form
    196.86/296.34 = 177/x
  3. Step 3: Cross multiply
    196.86x = 296.34 × 177
  4. Step 4: Simplify right side
    196.86x = 52,452.18
  5. Step 5: Solve for x
    x = 52,452.18/196.86
  6. Step 6: Final answer
    x = 266.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.