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Finding the Fourth Proportional to 225.98, 311.74 and 137.42

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Solution

The fourth proportional to 225.98, 311.74 and 137.42 is: 189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.98 : 311.74 = 137.42 : x
  2. Step 2: Convert to fraction form
    225.98/311.74 = 137.42/x
  3. Step 3: Cross multiply
    225.98x = 311.74 × 137.42
  4. Step 4: Simplify right side
    225.98x = 42,839.31
  5. Step 5: Solve for x
    x = 42,839.31/225.98
  6. Step 6: Final answer
    x = 189.57

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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.