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Finding the Fourth Proportional to 180.37, 269.88 and 110.71

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Solution

The fourth proportional to 180.37, 269.88 and 110.71 is: 165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.37 : 269.88 = 110.71 : x
  2. Step 2: Convert to fraction form
    180.37/269.88 = 110.71/x
  3. Step 3: Cross multiply
    180.37x = 269.88 × 110.71
  4. Step 4: Simplify right side
    180.37x = 29,878.41
  5. Step 5: Solve for x
    x = 29,878.41/180.37
  6. Step 6: Final answer
    x = 165.65

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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.