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Finding the Fourth Proportional to 301.46, 416.09 and 170.54

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Solution

The fourth proportional to 301.46, 416.09 and 170.54 is: 235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.46 : 416.09 = 170.54 : x
  2. Step 2: Convert to fraction form
    301.46/416.09 = 170.54/x
  3. Step 3: Cross multiply
    301.46x = 416.09 × 170.54
  4. Step 4: Simplify right side
    301.46x = 70,957.06
  5. Step 5: Solve for x
    x = 70,957.06/301.46
  6. Step 6: Final answer
    x = 235.38

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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.