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Finding the Fourth Proportional to 180.77, 249.41 and 110.81

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Solution

The fourth proportional to 180.77, 249.41 and 110.81 is: 152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.77 : 249.41 = 110.81 : x
  2. Step 2: Convert to fraction form
    180.77/249.41 = 110.81/x
  3. Step 3: Cross multiply
    180.77x = 249.41 × 110.81
  4. Step 4: Simplify right side
    180.77x = 27,638.02
  5. Step 5: Solve for x
    x = 27,638.02/180.77
  6. Step 6: Final answer
    x = 152.89

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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.