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Finding the Fourth Proportional to 271.04, 374.20 and 205.83

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Solution

The fourth proportional to 271.04, 374.20 and 205.83 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.04 : 374.20 = 205.83 : x
  2. Step 2: Convert to fraction form
    271.04/374.20 = 205.83/x
  3. Step 3: Cross multiply
    271.04x = 374.20 × 205.83
  4. Step 4: Simplify right side
    271.04x = 77,021.07
  5. Step 5: Solve for x
    x = 77,021.07/271.04
  6. Step 6: Final answer
    x = 284.17

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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.