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Finding the Fourth Proportional to 180.34, 269.98 and 111.65

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Solution

The fourth proportional to 180.34, 269.98 and 111.65 is: 167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.34 : 269.98 = 111.65 : x
  2. Step 2: Convert to fraction form
    180.34/269.98 = 111.65/x
  3. Step 3: Cross multiply
    180.34x = 269.98 × 111.65
  4. Step 4: Simplify right side
    180.34x = 30,142.27
  5. Step 5: Solve for x
    x = 30,142.27/180.34
  6. Step 6: Final answer
    x = 167.14

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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.