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Finding the Fourth Proportional to 170.44, 256.01 and 165.66

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Solution

The fourth proportional to 170.44, 256.01 and 165.66 is: 248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.44 : 256.01 = 165.66 : x
  2. Step 2: Convert to fraction form
    170.44/256.01 = 165.66/x
  3. Step 3: Cross multiply
    170.44x = 256.01 × 165.66
  4. Step 4: Simplify right side
    170.44x = 42,410.62
  5. Step 5: Solve for x
    x = 42,410.62/170.44
  6. Step 6: Final answer
    x = 248.83

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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.