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Finding the Fourth Proportional to 196.80, 271.54 and 109.46

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Solution

The fourth proportional to 196.80, 271.54 and 109.46 is: 151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.80 : 271.54 = 109.46 : x
  2. Step 2: Convert to fraction form
    196.80/271.54 = 109.46/x
  3. Step 3: Cross multiply
    196.80x = 271.54 × 109.46
  4. Step 4: Simplify right side
    196.80x = 29,722.77
  5. Step 5: Solve for x
    x = 29,722.77/196.80
  6. Step 6: Final answer
    x = 151.03

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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.