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Finding the Fourth Proportional to 225.39, 311.06 and 125.82

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Solution

The fourth proportional to 225.39, 311.06 and 125.82 is: 173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.39 : 311.06 = 125.82 : x
  2. Step 2: Convert to fraction form
    225.39/311.06 = 125.82/x
  3. Step 3: Cross multiply
    225.39x = 311.06 × 125.82
  4. Step 4: Simplify right side
    225.39x = 39,136.94
  5. Step 5: Solve for x
    x = 39,136.94/225.39
  6. Step 6: Final answer
    x = 173.64

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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.