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Finding the Fourth Proportional to 180.38, 247.73 and 151.22

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Solution

The fourth proportional to 180.38, 247.73 and 151.22 is: 207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 247.73 = 151.22 : x
  2. Step 2: Convert to fraction form
    180.38/247.73 = 151.22/x
  3. Step 3: Cross multiply
    180.38x = 247.73 × 151.22
  4. Step 4: Simplify right side
    180.38x = 37,460.97
  5. Step 5: Solve for x
    x = 37,460.97/180.38
  6. Step 6: Final answer
    x = 207.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.