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Finding the Fourth Proportional to 271.14, 403.77 and 268.10

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Solution

The fourth proportional to 271.14, 403.77 and 268.10 is: 399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.14 : 403.77 = 268.10 : x
  2. Step 2: Convert to fraction form
    271.14/403.77 = 268.10/x
  3. Step 3: Cross multiply
    271.14x = 403.77 × 268.10
  4. Step 4: Simplify right side
    271.14x = 108,248.72
  5. Step 5: Solve for x
    x = 108,248.72/271.14
  6. Step 6: Final answer
    x = 399.24

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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.