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Finding the Fourth Proportional to 234.56, 351.20 and 182.93

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Solution

The fourth proportional to 234.56, 351.20 and 182.93 is: 273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 351.20 = 182.93 : x
  2. Step 2: Convert to fraction form
    234.56/351.20 = 182.93/x
  3. Step 3: Cross multiply
    234.56x = 351.20 × 182.93
  4. Step 4: Simplify right side
    234.56x = 64,243.72
  5. Step 5: Solve for x
    x = 64,243.72/234.56
  6. Step 6: Final answer
    x = 273.89

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Why These Related Problems?

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