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Finding the Fourth Proportional to 271.47, 406.86 and 198.16

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Solution

The fourth proportional to 271.47, 406.86 and 198.16 is: 296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.47 : 406.86 = 198.16 : x
  2. Step 2: Convert to fraction form
    271.47/406.86 = 198.16/x
  3. Step 3: Cross multiply
    271.47x = 406.86 × 198.16
  4. Step 4: Simplify right side
    271.47x = 80,623.38
  5. Step 5: Solve for x
    x = 80,623.38/271.47
  6. Step 6: Final answer
    x = 296.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.