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Finding the Fourth Proportional to 335.73, 463.16 and 203

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Solution

The fourth proportional to 335.73, 463.16 and 203 is: 280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.73 : 463.16 = 203 : x
  2. Step 2: Convert to fraction form
    335.73/463.16 = 203/x
  3. Step 3: Cross multiply
    335.73x = 463.16 × 203
  4. Step 4: Simplify right side
    335.73x = 94,021.48
  5. Step 5: Solve for x
    x = 94,021.48/335.73
  6. Step 6: Final answer
    x = 280.05

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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.