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Finding the Fourth Proportional to 301.92, 416.65 and 169.14

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Solution

The fourth proportional to 301.92, 416.65 and 169.14 is: 233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 416.65 = 169.14 : x
  2. Step 2: Convert to fraction form
    301.92/416.65 = 169.14/x
  3. Step 3: Cross multiply
    301.92x = 416.65 × 169.14
  4. Step 4: Simplify right side
    301.92x = 70,471.77
  5. Step 5: Solve for x
    x = 70,471.77/301.92
  6. Step 6: Final answer
    x = 233.41

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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.