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Finding the Fourth Proportional to 196.77, 271.58 and 141.69

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Solution

The fourth proportional to 196.77, 271.58 and 141.69 is: 195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.77 : 271.58 = 141.69 : x
  2. Step 2: Convert to fraction form
    196.77/271.58 = 141.69/x
  3. Step 3: Cross multiply
    196.77x = 271.58 × 141.69
  4. Step 4: Simplify right side
    196.77x = 38,480.17
  5. Step 5: Solve for x
    x = 38,480.17/196.77
  6. Step 6: Final answer
    x = 195.56

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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.