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Finding the Fourth Proportional to 180.03, 248.31 and 150.80

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Solution

The fourth proportional to 180.03, 248.31 and 150.80 is: 207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.03 : 248.31 = 150.80 : x
  2. Step 2: Convert to fraction form
    180.03/248.31 = 150.80/x
  3. Step 3: Cross multiply
    180.03x = 248.31 × 150.80
  4. Step 4: Simplify right side
    180.03x = 37,443.91
  5. Step 5: Solve for x
    x = 37,443.91/180.03
  6. Step 6: Final answer
    x = 207.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.