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Finding the Fourth Proportional to 264.25, 364.82 and 186.79

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Solution

The fourth proportional to 264.25, 364.82 and 186.79 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.25 : 364.82 = 186.79 : x
  2. Step 2: Convert to fraction form
    264.25/364.82 = 186.79/x
  3. Step 3: Cross multiply
    264.25x = 364.82 × 186.79
  4. Step 4: Simplify right side
    264.25x = 68,144.73
  5. Step 5: Solve for x
    x = 68,144.73/264.25
  6. Step 6: Final answer
    x = 257.88

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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.