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Finding the Fourth Proportional to 271.08, 374.09 and 204.58

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Solution

The fourth proportional to 271.08, 374.09 and 204.58 is: 282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.08 : 374.09 = 204.58 : x
  2. Step 2: Convert to fraction form
    271.08/374.09 = 204.58/x
  3. Step 3: Cross multiply
    271.08x = 374.09 × 204.58
  4. Step 4: Simplify right side
    271.08x = 76,528.67
  5. Step 5: Solve for x
    x = 76,528.67/271.08
  6. Step 6: Final answer
    x = 282.31

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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.