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Finding the Fourth Proportional to 301.82, 416.52 and 169.05

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Solution

The fourth proportional to 301.82, 416.52 and 169.05 is: 233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.82 : 416.52 = 169.05 : x
  2. Step 2: Convert to fraction form
    301.82/416.52 = 169.05/x
  3. Step 3: Cross multiply
    301.82x = 416.52 × 169.05
  4. Step 4: Simplify right side
    301.82x = 70,411.23
  5. Step 5: Solve for x
    x = 70,411.23/301.82
  6. Step 6: Final answer
    x = 233.29

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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.