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Finding the Fourth Proportional to 225.36, 311.01 and 138

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Solution

The fourth proportional to 225.36, 311.01 and 138 is: 190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.36 : 311.01 = 138 : x
  2. Step 2: Convert to fraction form
    225.36/311.01 = 138/x
  3. Step 3: Cross multiply
    225.36x = 311.01 × 138
  4. Step 4: Simplify right side
    225.36x = 42,919.38
  5. Step 5: Solve for x
    x = 42,919.38/225.36
  6. Step 6: Final answer
    x = 190.45

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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.