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Finding the Fourth Proportional to 301.88, 416.54 and 169.09

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Solution

The fourth proportional to 301.88, 416.54 and 169.09 is: 233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.88 : 416.54 = 169.09 : x
  2. Step 2: Convert to fraction form
    301.88/416.54 = 169.09/x
  3. Step 3: Cross multiply
    301.88x = 416.54 × 169.09
  4. Step 4: Simplify right side
    301.88x = 70,429.82
  5. Step 5: Solve for x
    x = 70,429.82/301.88
  6. Step 6: Final answer
    x = 233.31

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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.