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Finding the Fourth Proportional to 271.95, 408.07 and 135.00

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Solution

The fourth proportional to 271.95, 408.07 and 135.00 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.95 : 408.07 = 135.00 : x
  2. Step 2: Convert to fraction form
    271.95/408.07 = 135.00/x
  3. Step 3: Cross multiply
    271.95x = 408.07 × 135.00
  4. Step 4: Simplify right side
    271.95x = 55,088.09
  5. Step 5: Solve for x
    x = 55,088.09/271.95
  6. Step 6: Final answer
    x = 202.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.