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Finding the Fourth Proportional to 180.29, 248.61 and 169.83

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Solution

The fourth proportional to 180.29, 248.61 and 169.83 is: 234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.29 : 248.61 = 169.83 : x
  2. Step 2: Convert to fraction form
    180.29/248.61 = 169.83/x
  3. Step 3: Cross multiply
    180.29x = 248.61 × 169.83
  4. Step 4: Simplify right side
    180.29x = 42,220.19
  5. Step 5: Solve for x
    x = 42,220.19/180.29
  6. Step 6: Final answer
    x = 234.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.