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Finding the Fourth Proportional to 182.06, 272.61 and 143.62

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Solution

The fourth proportional to 182.06, 272.61 and 143.62 is: 215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.06 : 272.61 = 143.62 : x
  2. Step 2: Convert to fraction form
    182.06/272.61 = 143.62/x
  3. Step 3: Cross multiply
    182.06x = 272.61 × 143.62
  4. Step 4: Simplify right side
    182.06x = 39,150.17
  5. Step 5: Solve for x
    x = 39,150.17/182.06
  6. Step 6: Final answer
    x = 215.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.