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Finding the Fourth Proportional to 264.56, 365.28 and 206.24

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Solution

The fourth proportional to 264.56, 365.28 and 206.24 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.56 : 365.28 = 206.24 : x
  2. Step 2: Convert to fraction form
    264.56/365.28 = 206.24/x
  3. Step 3: Cross multiply
    264.56x = 365.28 × 206.24
  4. Step 4: Simplify right side
    264.56x = 75,335.35
  5. Step 5: Solve for x
    x = 75,335.35/264.56
  6. Step 6: Final answer
    x = 284.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.