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Finding the Fourth Proportional to 225.75, 311.51 and 127.49

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Solution

The fourth proportional to 225.75, 311.51 and 127.49 is: 175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.75 : 311.51 = 127.49 : x
  2. Step 2: Convert to fraction form
    225.75/311.51 = 127.49/x
  3. Step 3: Cross multiply
    225.75x = 311.51 × 127.49
  4. Step 4: Simplify right side
    225.75x = 39,712.85
  5. Step 5: Solve for x
    x = 39,712.85/225.75
  6. Step 6: Final answer
    x = 175.92

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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.