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Finding the Fourth Proportional to 336.11, 505.08 and 206.19

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Solution

The fourth proportional to 336.11, 505.08 and 206.19 is: 309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.11 : 505.08 = 206.19 : x
  2. Step 2: Convert to fraction form
    336.11/505.08 = 206.19/x
  3. Step 3: Cross multiply
    336.11x = 505.08 × 206.19
  4. Step 4: Simplify right side
    336.11x = 104,142.45
  5. Step 5: Solve for x
    x = 104,142.45/336.11
  6. Step 6: Final answer
    x = 309.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.