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Finding the Fourth Proportional to 180.01, 248.41 and 110.07

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Solution

The fourth proportional to 180.01, 248.41 and 110.07 is: 151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.01 : 248.41 = 110.07 : x
  2. Step 2: Convert to fraction form
    180.01/248.41 = 110.07/x
  3. Step 3: Cross multiply
    180.01x = 248.41 × 110.07
  4. Step 4: Simplify right side
    180.01x = 27,342.49
  5. Step 5: Solve for x
    x = 27,342.49/180.01
  6. Step 6: Final answer
    x = 151.89

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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.