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Finding the Fourth Proportional to 343.56, 515.38 and 206.42

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Solution

The fourth proportional to 343.56, 515.38 and 206.42 is: 309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.56 : 515.38 = 206.42 : x
  2. Step 2: Convert to fraction form
    343.56/515.38 = 206.42/x
  3. Step 3: Cross multiply
    343.56x = 515.38 × 206.42
  4. Step 4: Simplify right side
    343.56x = 106,384.74
  5. Step 5: Solve for x
    x = 106,384.74/343.56
  6. Step 6: Final answer
    x = 309.65

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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.