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Finding the Fourth Proportional to 170.46, 255.77 and 116.24

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Solution

The fourth proportional to 170.46, 255.77 and 116.24 is: 174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.46 : 255.77 = 116.24 : x
  2. Step 2: Convert to fraction form
    170.46/255.77 = 116.24/x
  3. Step 3: Cross multiply
    170.46x = 255.77 × 116.24
  4. Step 4: Simplify right side
    170.46x = 29,730.12
  5. Step 5: Solve for x
    x = 29,730.12/170.46
  6. Step 6: Final answer
    x = 174.42

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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.