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Finding the Fourth Proportional to 243.31, 335.82 and 145.17

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Solution

The fourth proportional to 243.31, 335.82 and 145.17 is: 200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.31 : 335.82 = 145.17 : x
  2. Step 2: Convert to fraction form
    243.31/335.82 = 145.17/x
  3. Step 3: Cross multiply
    243.31x = 335.82 × 145.17
  4. Step 4: Simplify right side
    243.31x = 48,750.99
  5. Step 5: Solve for x
    x = 48,750.99/243.31
  6. Step 6: Final answer
    x = 200.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.