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Finding the Fourth Proportional to 336.20, 463.78 and 205.24

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Solution

The fourth proportional to 336.20, 463.78 and 205.24 is: 283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.20 : 463.78 = 205.24 : x
  2. Step 2: Convert to fraction form
    336.20/463.78 = 205.24/x
  3. Step 3: Cross multiply
    336.20x = 463.78 × 205.24
  4. Step 4: Simplify right side
    336.20x = 95,186.21
  5. Step 5: Solve for x
    x = 95,186.21/336.20
  6. Step 6: Final answer
    x = 283.12

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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.