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Finding the Fourth Proportional to 238.21, 328.49 and 212.02

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Solution

The fourth proportional to 238.21, 328.49 and 212.02 is: 292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.21 : 328.49 = 212.02 : x
  2. Step 2: Convert to fraction form
    238.21/328.49 = 212.02/x
  3. Step 3: Cross multiply
    238.21x = 328.49 × 212.02
  4. Step 4: Simplify right side
    238.21x = 69,645.36
  5. Step 5: Solve for x
    x = 69,645.36/238.21
  6. Step 6: Final answer
    x = 292.37

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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.