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Finding the Fourth Proportional to 180.83, 269.94 and 168.18

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Solution

The fourth proportional to 180.83, 269.94 and 168.18 is: 251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 269.94 = 168.18 : x
  2. Step 2: Convert to fraction form
    180.83/269.94 = 168.18/x
  3. Step 3: Cross multiply
    180.83x = 269.94 × 168.18
  4. Step 4: Simplify right side
    180.83x = 45,397.65
  5. Step 5: Solve for x
    x = 45,397.65/180.83
  6. Step 6: Final answer
    x = 251.05

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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.