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Finding the Fourth Proportional to 170.44, 255.64 and 160.42

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Solution

The fourth proportional to 170.44, 255.64 and 160.42 is: 240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.44 : 255.64 = 160.42 : x
  2. Step 2: Convert to fraction form
    170.44/255.64 = 160.42/x
  3. Step 3: Cross multiply
    170.44x = 255.64 × 160.42
  4. Step 4: Simplify right side
    170.44x = 41,009.77
  5. Step 5: Solve for x
    x = 41,009.77/170.44
  6. Step 6: Final answer
    x = 240.61

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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.