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Finding the Fourth Proportional to 264.60, 364.85 and 227.37

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Solution

The fourth proportional to 264.60, 364.85 and 227.37 is: 313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.60 : 364.85 = 227.37 : x
  2. Step 2: Convert to fraction form
    264.60/364.85 = 227.37/x
  3. Step 3: Cross multiply
    264.60x = 364.85 × 227.37
  4. Step 4: Simplify right side
    264.60x = 82,957.03
  5. Step 5: Solve for x
    x = 82,957.03/264.60
  6. Step 6: Final answer
    x = 313.52

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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.