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Finding the Fourth Proportional to 170.06, 255.14 and 118.68

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Solution

The fourth proportional to 170.06, 255.14 and 118.68 is: 178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.06 : 255.14 = 118.68 : x
  2. Step 2: Convert to fraction form
    170.06/255.14 = 118.68/x
  3. Step 3: Cross multiply
    170.06x = 255.14 × 118.68
  4. Step 4: Simplify right side
    170.06x = 30,280.02
  5. Step 5: Solve for x
    x = 30,280.02/170.06
  6. Step 6: Final answer
    x = 178.05

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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.