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Finding the Fourth Proportional to 336.09, 463.86 and 205.19

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Solution

The fourth proportional to 336.09, 463.86 and 205.19 is: 283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.09 : 463.86 = 205.19 : x
  2. Step 2: Convert to fraction form
    336.09/463.86 = 205.19/x
  3. Step 3: Cross multiply
    336.09x = 463.86 × 205.19
  4. Step 4: Simplify right side
    336.09x = 95,177.11
  5. Step 5: Solve for x
    x = 95,177.11/336.09
  6. Step 6: Final answer
    x = 283.19

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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.