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Finding the Fourth Proportional to 264.58, 364.22 and 227.52

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Solution

The fourth proportional to 264.58, 364.22 and 227.52 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.58 : 364.22 = 227.52 : x
  2. Step 2: Convert to fraction form
    264.58/364.22 = 227.52/x
  3. Step 3: Cross multiply
    264.58x = 364.22 × 227.52
  4. Step 4: Simplify right side
    264.58x = 82,866.20
  5. Step 5: Solve for x
    x = 82,866.20/264.58
  6. Step 6: Final answer
    x = 313.20

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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.