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Finding the Fourth Proportional to 234.26, 352.77 and 204.19

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Solution

The fourth proportional to 234.26, 352.77 and 204.19 is: 307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.26 : 352.77 = 204.19 : x
  2. Step 2: Convert to fraction form
    234.26/352.77 = 204.19/x
  3. Step 3: Cross multiply
    234.26x = 352.77 × 204.19
  4. Step 4: Simplify right side
    234.26x = 72,032.11
  5. Step 5: Solve for x
    x = 72,032.11/234.26
  6. Step 6: Final answer
    x = 307.49

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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.