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Finding the Fourth Proportional to 234.68, 350.80 and 182.72

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Solution

The fourth proportional to 234.68, 350.80 and 182.72 is: 273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.68 : 350.80 = 182.72 : x
  2. Step 2: Convert to fraction form
    234.68/350.80 = 182.72/x
  3. Step 3: Cross multiply
    234.68x = 350.80 × 182.72
  4. Step 4: Simplify right side
    234.68x = 64,098.18
  5. Step 5: Solve for x
    x = 64,098.18/234.68
  6. Step 6: Final answer
    x = 273.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.