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Finding the Fourth Proportional to 263.45, 394.77 and 167.06

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Solution

The fourth proportional to 263.45, 394.77 and 167.06 is: 250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.45 : 394.77 = 167.06 : x
  2. Step 2: Convert to fraction form
    263.45/394.77 = 167.06/x
  3. Step 3: Cross multiply
    263.45x = 394.77 × 167.06
  4. Step 4: Simplify right side
    263.45x = 65,951.89
  5. Step 5: Solve for x
    x = 65,951.89/263.45
  6. Step 6: Final answer
    x = 250.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.