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Finding the Fourth Proportional to 182.74, 252.03 and 151.69

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Solution

The fourth proportional to 182.74, 252.03 and 151.69 is: 209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.74 : 252.03 = 151.69 : x
  2. Step 2: Convert to fraction form
    182.74/252.03 = 151.69/x
  3. Step 3: Cross multiply
    182.74x = 252.03 × 151.69
  4. Step 4: Simplify right side
    182.74x = 38,230.43
  5. Step 5: Solve for x
    x = 38,230.43/182.74
  6. Step 6: Final answer
    x = 209.21

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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.