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Finding the Fourth Proportional to 342.92, 473.31 and 203.06

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Solution

The fourth proportional to 342.92, 473.31 and 203.06 is: 280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.92 : 473.31 = 203.06 : x
  2. Step 2: Convert to fraction form
    342.92/473.31 = 203.06/x
  3. Step 3: Cross multiply
    342.92x = 473.31 × 203.06
  4. Step 4: Simplify right side
    342.92x = 96,110.33
  5. Step 5: Solve for x
    x = 96,110.33/342.92
  6. Step 6: Final answer
    x = 280.27

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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.