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Finding the Fourth Proportional to 225.44, 336.52 and 206.24

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Solution

The fourth proportional to 225.44, 336.52 and 206.24 is: 307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.44 : 336.52 = 206.24 : x
  2. Step 2: Convert to fraction form
    225.44/336.52 = 206.24/x
  3. Step 3: Cross multiply
    225.44x = 336.52 × 206.24
  4. Step 4: Simplify right side
    225.44x = 69,403.88
  5. Step 5: Solve for x
    x = 69,403.88/225.44
  6. Step 6: Final answer
    x = 307.86

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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.