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Finding the Fourth Proportional to 170.37, 255.06 and 118.80

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Solution

The fourth proportional to 170.37, 255.06 and 118.80 is: 177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.37 : 255.06 = 118.80 : x
  2. Step 2: Convert to fraction form
    170.37/255.06 = 118.80/x
  3. Step 3: Cross multiply
    170.37x = 255.06 × 118.80
  4. Step 4: Simplify right side
    170.37x = 30,301.13
  5. Step 5: Solve for x
    x = 30,301.13/170.37
  6. Step 6: Final answer
    x = 177.85

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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.