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Finding the Fourth Proportional to 271.57, 405.73 and 225.55

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Solution

The fourth proportional to 271.57, 405.73 and 225.55 is: 336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.57 : 405.73 = 225.55 : x
  2. Step 2: Convert to fraction form
    271.57/405.73 = 225.55/x
  3. Step 3: Cross multiply
    271.57x = 405.73 × 225.55
  4. Step 4: Simplify right side
    271.57x = 91,512.40
  5. Step 5: Solve for x
    x = 91,512.40/271.57
  6. Step 6: Final answer
    x = 336.98

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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.