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Finding the Fourth Proportional to 225.46, 311.00 and 138.13

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Solution

The fourth proportional to 225.46, 311.00 and 138.13 is: 190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.46 : 311.00 = 138.13 : x
  2. Step 2: Convert to fraction form
    225.46/311.00 = 138.13/x
  3. Step 3: Cross multiply
    225.46x = 311.00 × 138.13
  4. Step 4: Simplify right side
    225.46x = 42,956.18
  5. Step 5: Solve for x
    x = 42,956.18/225.46
  6. Step 6: Final answer
    x = 190.53

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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.