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Finding the Fourth Proportional to 182.40, 251.66 and 108.74

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Solution

The fourth proportional to 182.40, 251.66 and 108.74 is: 150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.40 : 251.66 = 108.74 : x
  2. Step 2: Convert to fraction form
    182.40/251.66 = 108.74/x
  3. Step 3: Cross multiply
    182.40x = 251.66 × 108.74
  4. Step 4: Simplify right side
    182.40x = 27,365.80
  5. Step 5: Solve for x
    x = 27,365.80/182.40
  6. Step 6: Final answer
    x = 150.03

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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.