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Finding the Fourth Proportional to 180.01, 248.30 and 110.09

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Solution

The fourth proportional to 180.01, 248.30 and 110.09 is: 151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.01 : 248.30 = 110.09 : x
  2. Step 2: Convert to fraction form
    180.01/248.30 = 110.09/x
  3. Step 3: Cross multiply
    180.01x = 248.30 × 110.09
  4. Step 4: Simplify right side
    180.01x = 27,335.83
  5. Step 5: Solve for x
    x = 27,335.83/180.01
  6. Step 6: Final answer
    x = 151.86

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