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Finding the Fourth Proportional to 170.20, 256.71 and 164.73

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Solution

The fourth proportional to 170.20, 256.71 and 164.73 is: 248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.20 : 256.71 = 164.73 : x
  2. Step 2: Convert to fraction form
    170.20/256.71 = 164.73/x
  3. Step 3: Cross multiply
    170.20x = 256.71 × 164.73
  4. Step 4: Simplify right side
    170.20x = 42,287.84
  5. Step 5: Solve for x
    x = 42,287.84/170.20
  6. Step 6: Final answer
    x = 248.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.