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Finding the Fourth Proportional to 228.08, 340.65 and 206.37

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Solution

The fourth proportional to 228.08, 340.65 and 206.37 is: 308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.08 : 340.65 = 206.37 : x
  2. Step 2: Convert to fraction form
    228.08/340.65 = 206.37/x
  3. Step 3: Cross multiply
    228.08x = 340.65 × 206.37
  4. Step 4: Simplify right side
    228.08x = 70,299.94
  5. Step 5: Solve for x
    x = 70,299.94/228.08
  6. Step 6: Final answer
    x = 308.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.