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Finding the Fourth Proportional to 170.26, 255.40 and 98.14

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Solution

The fourth proportional to 170.26, 255.40 and 98.14 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.26 : 255.40 = 98.14 : x
  2. Step 2: Convert to fraction form
    170.26/255.40 = 98.14/x
  3. Step 3: Cross multiply
    170.26x = 255.40 × 98.14
  4. Step 4: Simplify right side
    170.26x = 25,064.96
  5. Step 5: Solve for x
    x = 25,064.96/170.26
  6. Step 6: Final answer
    x = 147.22

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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.