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Finding the Fourth Proportional to 336.54, 505.07 and 206.69

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Solution

The fourth proportional to 336.54, 505.07 and 206.69 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.54 : 505.07 = 206.69 : x
  2. Step 2: Convert to fraction form
    336.54/505.07 = 206.69/x
  3. Step 3: Cross multiply
    336.54x = 505.07 × 206.69
  4. Step 4: Simplify right side
    336.54x = 104,392.92
  5. Step 5: Solve for x
    x = 104,392.92/336.54
  6. Step 6: Final answer
    x = 310.19

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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.