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Finding the Fourth Proportional to 271.02, 374.00 and 201.15

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Solution

The fourth proportional to 271.02, 374.00 and 201.15 is: 277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.02 : 374.00 = 201.15 : x
  2. Step 2: Convert to fraction form
    271.02/374.00 = 201.15/x
  3. Step 3: Cross multiply
    271.02x = 374.00 × 201.15
  4. Step 4: Simplify right side
    271.02x = 75,230.50
  5. Step 5: Solve for x
    x = 75,230.50/271.02
  6. Step 6: Final answer
    x = 277.59

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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.