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Finding the Fourth Proportional to 241.40, 362.34 and 232.19

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Solution

The fourth proportional to 241.40, 362.34 and 232.19 is: 348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.40 : 362.34 = 232.19 : x
  2. Step 2: Convert to fraction form
    241.40/362.34 = 232.19/x
  3. Step 3: Cross multiply
    241.40x = 362.34 × 232.19
  4. Step 4: Simplify right side
    241.40x = 84,131.72
  5. Step 5: Solve for x
    x = 84,131.72/241.40
  6. Step 6: Final answer
    x = 348.52

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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.