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Finding the Fourth Proportional to 271.17, 405.93 and 197.76

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Solution

The fourth proportional to 271.17, 405.93 and 197.76 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.17 : 405.93 = 197.76 : x
  2. Step 2: Convert to fraction form
    271.17/405.93 = 197.76/x
  3. Step 3: Cross multiply
    271.17x = 405.93 × 197.76
  4. Step 4: Simplify right side
    271.17x = 80,276.72
  5. Step 5: Solve for x
    x = 80,276.72/271.17
  6. Step 6: Final answer
    x = 296.04

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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.