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Finding the Fourth Proportional to 228.40, 341.70 and 206.80

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Solution

The fourth proportional to 228.40, 341.70 and 206.80 is: 309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.40 : 341.70 = 206.80 : x
  2. Step 2: Convert to fraction form
    228.40/341.70 = 206.80/x
  3. Step 3: Cross multiply
    228.40x = 341.70 × 206.80
  4. Step 4: Simplify right side
    228.40x = 70,663.56
  5. Step 5: Solve for x
    x = 70,663.56/228.40
  6. Step 6: Final answer
    x = 309.39

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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.