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Finding the Fourth Proportional to 301.91, 416.51 and 231.84

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Solution

The fourth proportional to 301.91, 416.51 and 231.84 is: 319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.91 : 416.51 = 231.84 : x
  2. Step 2: Convert to fraction form
    301.91/416.51 = 231.84/x
  3. Step 3: Cross multiply
    301.91x = 416.51 × 231.84
  4. Step 4: Simplify right side
    301.91x = 96,563.68
  5. Step 5: Solve for x
    x = 96,563.68/301.91
  6. Step 6: Final answer
    x = 319.84

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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.