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Finding the Fourth Proportional to 336.11, 463.95 and 205.13

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Solution

The fourth proportional to 336.11, 463.95 and 205.13 is: 283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.11 : 463.95 = 205.13 : x
  2. Step 2: Convert to fraction form
    336.11/463.95 = 205.13/x
  3. Step 3: Cross multiply
    336.11x = 463.95 × 205.13
  4. Step 4: Simplify right side
    336.11x = 95,166.72
  5. Step 5: Solve for x
    x = 95,166.72/336.11
  6. Step 6: Final answer
    x = 283.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.