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Finding the Fourth Proportional to 264.11, 364.14 and 208.76

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Solution

The fourth proportional to 264.11, 364.14 and 208.76 is: 287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.11 : 364.14 = 208.76 : x
  2. Step 2: Convert to fraction form
    264.11/364.14 = 208.76/x
  3. Step 3: Cross multiply
    264.11x = 364.14 × 208.76
  4. Step 4: Simplify right side
    264.11x = 76,016.05
  5. Step 5: Solve for x
    x = 76,016.05/264.11
  6. Step 6: Final answer
    x = 287.83

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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.