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Finding the Fourth Proportional to 245.54, 367.30 and 206.23

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Solution

The fourth proportional to 245.54, 367.30 and 206.23 is: 308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.54 : 367.30 = 206.23 : x
  2. Step 2: Convert to fraction form
    245.54/367.30 = 206.23/x
  3. Step 3: Cross multiply
    245.54x = 367.30 × 206.23
  4. Step 4: Simplify right side
    245.54x = 75,746.85
  5. Step 5: Solve for x
    x = 75,746.85/245.54
  6. Step 6: Final answer
    x = 308.50

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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.