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Finding the Fourth Proportional to 170.94, 255.17 and 148.20

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Solution

The fourth proportional to 170.94, 255.17 and 148.20 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 255.17 = 148.20 : x
  2. Step 2: Convert to fraction form
    170.94/255.17 = 148.20/x
  3. Step 3: Cross multiply
    170.94x = 255.17 × 148.20
  4. Step 4: Simplify right side
    170.94x = 37,815.45
  5. Step 5: Solve for x
    x = 37,815.45/170.94
  6. Step 6: Final answer
    x = 221.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.