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Finding the Fourth Proportional to 301.54, 416.10 and 170.55

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Solution

The fourth proportional to 301.54, 416.10 and 170.55 is: 235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.54 : 416.10 = 170.55 : x
  2. Step 2: Convert to fraction form
    301.54/416.10 = 170.55/x
  3. Step 3: Cross multiply
    301.54x = 416.10 × 170.55
  4. Step 4: Simplify right side
    301.54x = 70,965.86
  5. Step 5: Solve for x
    x = 70,965.86/301.54
  6. Step 6: Final answer
    x = 235.34

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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.