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Finding the Fourth Proportional to 169.95, 255.26 and 165.16

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Solution

The fourth proportional to 169.95, 255.26 and 165.16 is: 248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.95 : 255.26 = 165.16 : x
  2. Step 2: Convert to fraction form
    169.95/255.26 = 165.16/x
  3. Step 3: Cross multiply
    169.95x = 255.26 × 165.16
  4. Step 4: Simplify right side
    169.95x = 42,158.74
  5. Step 5: Solve for x
    x = 42,158.74/169.95
  6. Step 6: Final answer
    x = 248.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.