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Finding the Fourth Proportional to 180.08, 269.77 and 119.03

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Solution

The fourth proportional to 180.08, 269.77 and 119.03 is: 178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.08 : 269.77 = 119.03 : x
  2. Step 2: Convert to fraction form
    180.08/269.77 = 119.03/x
  3. Step 3: Cross multiply
    180.08x = 269.77 × 119.03
  4. Step 4: Simplify right side
    180.08x = 32,111.10
  5. Step 5: Solve for x
    x = 32,111.10/180.08
  6. Step 6: Final answer
    x = 178.31

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Why These Related Problems?

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