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Finding the Fourth Proportional to 228.50, 340.79 and 206.64

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Solution

The fourth proportional to 228.50, 340.79 and 206.64 is: 308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.50 : 340.79 = 206.64 : x
  2. Step 2: Convert to fraction form
    228.50/340.79 = 206.64/x
  3. Step 3: Cross multiply
    228.50x = 340.79 × 206.64
  4. Step 4: Simplify right side
    228.50x = 70,420.85
  5. Step 5: Solve for x
    x = 70,420.85/228.50
  6. Step 6: Final answer
    x = 308.19

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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.