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Finding the Fourth Proportional to 241.74, 364.31 and 234.46

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Solution

The fourth proportional to 241.74, 364.31 and 234.46 is: 353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.74 : 364.31 = 234.46 : x
  2. Step 2: Convert to fraction form
    241.74/364.31 = 234.46/x
  3. Step 3: Cross multiply
    241.74x = 364.31 × 234.46
  4. Step 4: Simplify right side
    241.74x = 85,416.12
  5. Step 5: Solve for x
    x = 85,416.12/241.74
  6. Step 6: Final answer
    x = 353.34

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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.