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Finding the Fourth Proportional to 238.64, 327.21 and 215.22

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Solution

The fourth proportional to 238.64, 327.21 and 215.22 is: 295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.64 : 327.21 = 215.22 : x
  2. Step 2: Convert to fraction form
    238.64/327.21 = 215.22/x
  3. Step 3: Cross multiply
    238.64x = 327.21 × 215.22
  4. Step 4: Simplify right side
    238.64x = 70,422.14
  5. Step 5: Solve for x
    x = 70,422.14/238.64
  6. Step 6: Final answer
    x = 295.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.