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Finding the Fourth Proportional to 343.80, 515.40 and 206.70

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Solution

The fourth proportional to 343.80, 515.40 and 206.70 is: 309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.80 : 515.40 = 206.70 : x
  2. Step 2: Convert to fraction form
    343.80/515.40 = 206.70/x
  3. Step 3: Cross multiply
    343.80x = 515.40 × 206.70
  4. Step 4: Simplify right side
    343.80x = 106,533.18
  5. Step 5: Solve for x
    x = 106,533.18/343.80
  6. Step 6: Final answer
    x = 309.87

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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.