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Finding the Fourth Proportional to 196.86, 271.65 and 109.53

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Solution

The fourth proportional to 196.86, 271.65 and 109.53 is: 151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.86 : 271.65 = 109.53 : x
  2. Step 2: Convert to fraction form
    196.86/271.65 = 109.53/x
  3. Step 3: Cross multiply
    196.86x = 271.65 × 109.53
  4. Step 4: Simplify right side
    196.86x = 29,753.82
  5. Step 5: Solve for x
    x = 29,753.82/196.86
  6. Step 6: Final answer
    x = 151.14

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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.