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Finding the Fourth Proportional to 196.46, 271.14 and 109.16

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Solution

The fourth proportional to 196.46, 271.14 and 109.16 is: 150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.46 : 271.14 = 109.16 : x
  2. Step 2: Convert to fraction form
    196.46/271.14 = 109.16/x
  3. Step 3: Cross multiply
    196.46x = 271.14 × 109.16
  4. Step 4: Simplify right side
    196.46x = 29,597.64
  5. Step 5: Solve for x
    x = 29,597.64/196.46
  6. Step 6: Final answer
    x = 150.65

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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.