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Finding the Fourth Proportional to 170.88, 255.09 and 165.17

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Solution

The fourth proportional to 170.88, 255.09 and 165.17 is: 246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.88 : 255.09 = 165.17 : x
  2. Step 2: Convert to fraction form
    170.88/255.09 = 165.17/x
  3. Step 3: Cross multiply
    170.88x = 255.09 × 165.17
  4. Step 4: Simplify right side
    170.88x = 42,131.94
  5. Step 5: Solve for x
    x = 42,131.94/170.88
  6. Step 6: Final answer
    x = 246.56

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