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Finding the Fourth Proportional to 343, 514.86 and 206.20

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Solution

The fourth proportional to 343, 514.86 and 206.20 is: 309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343 : 514.86 = 206.20 : x
  2. Step 2: Convert to fraction form
    343/514.86 = 206.20/x
  3. Step 3: Cross multiply
    343x = 514.86 × 206.20
  4. Step 4: Simplify right side
    343x = 106,164.13
  5. Step 5: Solve for x
    x = 106,164.13/343
  6. Step 6: Final answer
    x = 309.52

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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.