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Finding the Fourth Proportional to 271.87, 405.65 and 245.95

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Solution

The fourth proportional to 271.87, 405.65 and 245.95 is: 366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.87 : 405.65 = 245.95 : x
  2. Step 2: Convert to fraction form
    271.87/405.65 = 245.95/x
  3. Step 3: Cross multiply
    271.87x = 405.65 × 245.95
  4. Step 4: Simplify right side
    271.87x = 99,768.30
  5. Step 5: Solve for x
    x = 99,768.30/271.87
  6. Step 6: Final answer
    x = 366.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.