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Finding the Fourth Proportional to 180.11, 248.49 and 113.79

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Solution

The fourth proportional to 180.11, 248.49 and 113.79 is: 157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.11 : 248.49 = 113.79 : x
  2. Step 2: Convert to fraction form
    180.11/248.49 = 113.79/x
  3. Step 3: Cross multiply
    180.11x = 248.49 × 113.79
  4. Step 4: Simplify right side
    180.11x = 28,276.06
  5. Step 5: Solve for x
    x = 28,276.06/180.11
  6. Step 6: Final answer
    x = 157.00

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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.