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Finding the Fourth Proportional to 180.35, 268.62 and 169.10

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Solution

The fourth proportional to 180.35, 268.62 and 169.10 is: 251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.35 : 268.62 = 169.10 : x
  2. Step 2: Convert to fraction form
    180.35/268.62 = 169.10/x
  3. Step 3: Cross multiply
    180.35x = 268.62 × 169.10
  4. Step 4: Simplify right side
    180.35x = 45,422.30
  5. Step 5: Solve for x
    x = 45,422.30/180.35
  6. Step 6: Final answer
    x = 251.86

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Why These Related Problems?

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