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Finding the Fourth Proportional to 265.94, 397.25 and 227.24

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Solution

The fourth proportional to 265.94, 397.25 and 227.24 is: 339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.94 : 397.25 = 227.24 : x
  2. Step 2: Convert to fraction form
    265.94/397.25 = 227.24/x
  3. Step 3: Cross multiply
    265.94x = 397.25 × 227.24
  4. Step 4: Simplify right side
    265.94x = 90,271.09
  5. Step 5: Solve for x
    x = 90,271.09/265.94
  6. Step 6: Final answer
    x = 339.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.