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Finding the Fourth Proportional to 170.28, 254.86 and 120.62

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Solution

The fourth proportional to 170.28, 254.86 and 120.62 is: 180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.28 : 254.86 = 120.62 : x
  2. Step 2: Convert to fraction form
    170.28/254.86 = 120.62/x
  3. Step 3: Cross multiply
    170.28x = 254.86 × 120.62
  4. Step 4: Simplify right side
    170.28x = 30,739.65
  5. Step 5: Solve for x
    x = 30,739.65/170.28
  6. Step 6: Final answer
    x = 180.52

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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.