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Finding the Fourth Proportional to 170.34, 255.24 and 116.16

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Solution

The fourth proportional to 170.34, 255.24 and 116.16 is: 174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.34 : 255.24 = 116.16 : x
  2. Step 2: Convert to fraction form
    170.34/255.24 = 116.16/x
  3. Step 3: Cross multiply
    170.34x = 255.24 × 116.16
  4. Step 4: Simplify right side
    170.34x = 29,648.68
  5. Step 5: Solve for x
    x = 29,648.68/170.34
  6. Step 6: Final answer
    x = 174.06

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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.