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Finding the Fourth Proportional to 264.67, 364.35 and 227.61

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Solution

The fourth proportional to 264.67, 364.35 and 227.61 is: 313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.67 : 364.35 = 227.61 : x
  2. Step 2: Convert to fraction form
    264.67/364.35 = 227.61/x
  3. Step 3: Cross multiply
    264.67x = 364.35 × 227.61
  4. Step 4: Simplify right side
    264.67x = 82,929.28
  5. Step 5: Solve for x
    x = 82,929.28/264.67
  6. Step 6: Final answer
    x = 313.33

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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.