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Finding the Fourth Proportional to 392.14, 541.20 and 236.92

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Solution

The fourth proportional to 392.14, 541.20 and 236.92 is: 326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.14 : 541.20 = 236.92 : x
  2. Step 2: Convert to fraction form
    392.14/541.20 = 236.92/x
  3. Step 3: Cross multiply
    392.14x = 541.20 × 236.92
  4. Step 4: Simplify right side
    392.14x = 128,221.10
  5. Step 5: Solve for x
    x = 128,221.10/392.14
  6. Step 6: Final answer
    x = 326.98

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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.