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Finding the Fourth Proportional to 196.84, 296.71 and 179.56

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Solution

The fourth proportional to 196.84, 296.71 and 179.56 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.84 : 296.71 = 179.56 : x
  2. Step 2: Convert to fraction form
    196.84/296.71 = 179.56/x
  3. Step 3: Cross multiply
    196.84x = 296.71 × 179.56
  4. Step 4: Simplify right side
    196.84x = 53,277.25
  5. Step 5: Solve for x
    x = 53,277.25/196.84
  6. Step 6: Final answer
    x = 270.66

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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.