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Finding the Fourth Proportional to 342.23, 513.31 and 204.97

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Solution

The fourth proportional to 342.23, 513.31 and 204.97 is: 307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.23 : 513.31 = 204.97 : x
  2. Step 2: Convert to fraction form
    342.23/513.31 = 204.97/x
  3. Step 3: Cross multiply
    342.23x = 513.31 × 204.97
  4. Step 4: Simplify right side
    342.23x = 105,210.58
  5. Step 5: Solve for x
    x = 105,210.58/342.23
  6. Step 6: Final answer
    x = 307.43

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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.