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Finding the Fourth Proportional to 336.14, 463.87 and 203.37

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Solution

The fourth proportional to 336.14, 463.87 and 203.37 is: 280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.14 : 463.87 = 203.37 : x
  2. Step 2: Convert to fraction form
    336.14/463.87 = 203.37/x
  3. Step 3: Cross multiply
    336.14x = 463.87 × 203.37
  4. Step 4: Simplify right side
    336.14x = 94,337.24
  5. Step 5: Solve for x
    x = 94,337.24/336.14
  6. Step 6: Final answer
    x = 280.65

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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.