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Finding the Fourth Proportional to 182.62, 252.03 and 153.46

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Solution

The fourth proportional to 182.62, 252.03 and 153.46 is: 211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.62 : 252.03 = 153.46 : x
  2. Step 2: Convert to fraction form
    182.62/252.03 = 153.46/x
  3. Step 3: Cross multiply
    182.62x = 252.03 × 153.46
  4. Step 4: Simplify right side
    182.62x = 38,676.52
  5. Step 5: Solve for x
    x = 38,676.52/182.62
  6. Step 6: Final answer
    x = 211.79

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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.