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Finding the Fourth Proportional to 225.52, 311.24 and 127.27

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Solution

The fourth proportional to 225.52, 311.24 and 127.27 is: 175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.52 : 311.24 = 127.27 : x
  2. Step 2: Convert to fraction form
    225.52/311.24 = 127.27/x
  3. Step 3: Cross multiply
    225.52x = 311.24 × 127.27
  4. Step 4: Simplify right side
    225.52x = 39,612.22
  5. Step 5: Solve for x
    x = 39,612.22/225.52
  6. Step 6: Final answer
    x = 175.65

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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.