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Finding the Fourth Proportional to 301.73, 416.42 and 169.00

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Solution

The fourth proportional to 301.73, 416.42 and 169.00 is: 233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.73 : 416.42 = 169.00 : x
  2. Step 2: Convert to fraction form
    301.73/416.42 = 169.00/x
  3. Step 3: Cross multiply
    301.73x = 416.42 × 169.00
  4. Step 4: Simplify right side
    301.73x = 70,374.31
  5. Step 5: Solve for x
    x = 70,374.31/301.73
  6. Step 6: Final answer
    x = 233.24

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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.