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Finding the Fourth Proportional to 238.86, 358.20 and 213.48

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Solution

The fourth proportional to 238.86, 358.20 and 213.48 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.86 : 358.20 = 213.48 : x
  2. Step 2: Convert to fraction form
    238.86/358.20 = 213.48/x
  3. Step 3: Cross multiply
    238.86x = 358.20 × 213.48
  4. Step 4: Simplify right side
    238.86x = 76,468.54
  5. Step 5: Solve for x
    x = 76,468.54/238.86
  6. Step 6: Final answer
    x = 320.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.