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Finding the Fourth Proportional to 264, 364.56 and 206

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Solution

The fourth proportional to 264, 364.56 and 206 is: 284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264 : 364.56 = 206 : x
  2. Step 2: Convert to fraction form
    264/364.56 = 206/x
  3. Step 3: Cross multiply
    264x = 364.56 × 206
  4. Step 4: Simplify right side
    264x = 75,099.36
  5. Step 5: Solve for x
    x = 75,099.36/264
  6. Step 6: Final answer
    x = 284.47

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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.