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Finding the Fourth Proportional to 234.28, 352.71 and 183.59

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Solution

The fourth proportional to 234.28, 352.71 and 183.59 is: 276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.28 : 352.71 = 183.59 : x
  2. Step 2: Convert to fraction form
    234.28/352.71 = 183.59/x
  3. Step 3: Cross multiply
    234.28x = 352.71 × 183.59
  4. Step 4: Simplify right side
    234.28x = 64,754.03
  5. Step 5: Solve for x
    x = 64,754.03/234.28
  6. Step 6: Final answer
    x = 276.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.