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Finding the Fourth Proportional to 265.92, 397.20 and 222.30

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Solution

The fourth proportional to 265.92, 397.20 and 222.30 is: 332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 397.20 = 222.30 : x
  2. Step 2: Convert to fraction form
    265.92/397.20 = 222.30/x
  3. Step 3: Cross multiply
    265.92x = 397.20 × 222.30
  4. Step 4: Simplify right side
    265.92x = 88,297.56
  5. Step 5: Solve for x
    x = 88,297.56/265.92
  6. Step 6: Final answer
    x = 332.05

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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.