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Finding the Fourth Proportional to 180.14, 269.93 and 115.88

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Solution

The fourth proportional to 180.14, 269.93 and 115.88 is: 173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.14 : 269.93 = 115.88 : x
  2. Step 2: Convert to fraction form
    180.14/269.93 = 115.88/x
  3. Step 3: Cross multiply
    180.14x = 269.93 × 115.88
  4. Step 4: Simplify right side
    180.14x = 31,278.43
  5. Step 5: Solve for x
    x = 31,278.43/180.14
  6. Step 6: Final answer
    x = 173.64

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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.