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Finding the Fourth Proportional to 238.11, 327.93 and 225.75

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Solution

The fourth proportional to 238.11, 327.93 and 225.75 is: 310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.11 : 327.93 = 225.75 : x
  2. Step 2: Convert to fraction form
    238.11/327.93 = 225.75/x
  3. Step 3: Cross multiply
    238.11x = 327.93 × 225.75
  4. Step 4: Simplify right side
    238.11x = 74,030.20
  5. Step 5: Solve for x
    x = 74,030.20/238.11
  6. Step 6: Final answer
    x = 310.91

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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.