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Finding the Fourth Proportional to 238.11, 328.05 and 211.88

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Solution

The fourth proportional to 238.11, 328.05 and 211.88 is: 291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.11 : 328.05 = 211.88 : x
  2. Step 2: Convert to fraction form
    238.11/328.05 = 211.88/x
  3. Step 3: Cross multiply
    238.11x = 328.05 × 211.88
  4. Step 4: Simplify right side
    238.11x = 69,508.05
  5. Step 5: Solve for x
    x = 69,508.05/238.11
  6. Step 6: Final answer
    x = 291.92

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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.