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Finding the Fourth Proportional to 252.32, 377.66 and 169.80

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Solution

The fourth proportional to 252.32, 377.66 and 169.80 is: 254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 377.66 = 169.80 : x
  2. Step 2: Convert to fraction form
    252.32/377.66 = 169.80/x
  3. Step 3: Cross multiply
    252.32x = 377.66 × 169.80
  4. Step 4: Simplify right side
    252.32x = 64,125.68
  5. Step 5: Solve for x
    x = 64,125.68/252.32
  6. Step 6: Final answer
    x = 254.15

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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.