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Finding the Fourth Proportional to 238.86, 329.48 and 212.94

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Solution

The fourth proportional to 238.86, 329.48 and 212.94 is: 293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.86 : 329.48 = 212.94 : x
  2. Step 2: Convert to fraction form
    238.86/329.48 = 212.94/x
  3. Step 3: Cross multiply
    238.86x = 329.48 × 212.94
  4. Step 4: Simplify right side
    238.86x = 70,157.82
  5. Step 5: Solve for x
    x = 70,157.82/238.86
  6. Step 6: Final answer
    x = 293.73

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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.