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Finding the Fourth Proportional to 228.14, 343.17 and 206.06

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Solution

The fourth proportional to 228.14, 343.17 and 206.06 is: 309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.14 : 343.17 = 206.06 : x
  2. Step 2: Convert to fraction form
    228.14/343.17 = 206.06/x
  3. Step 3: Cross multiply
    228.14x = 343.17 × 206.06
  4. Step 4: Simplify right side
    228.14x = 70,713.61
  5. Step 5: Solve for x
    x = 70,713.61/228.14
  6. Step 6: Final answer
    x = 309.96

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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.