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Finding the Fourth Proportional to 180.66, 249.14 and 149.51

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Solution

The fourth proportional to 180.66, 249.14 and 149.51 is: 206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.66 : 249.14 = 149.51 : x
  2. Step 2: Convert to fraction form
    180.66/249.14 = 149.51/x
  3. Step 3: Cross multiply
    180.66x = 249.14 × 149.51
  4. Step 4: Simplify right side
    180.66x = 37,249.92
  5. Step 5: Solve for x
    x = 37,249.92/180.66
  6. Step 6: Final answer
    x = 206.18

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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.