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Finding the Fourth Proportional to 170.46, 255.41 and 98.38

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Solution

The fourth proportional to 170.46, 255.41 and 98.38 is: 147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.46 : 255.41 = 98.38 : x
  2. Step 2: Convert to fraction form
    170.46/255.41 = 98.38/x
  3. Step 3: Cross multiply
    170.46x = 255.41 × 98.38
  4. Step 4: Simplify right side
    170.46x = 25,127.24
  5. Step 5: Solve for x
    x = 25,127.24/170.46
  6. Step 6: Final answer
    x = 147.41

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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.