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Finding the Fourth Proportional to 265.18, 398.10 and 222.34

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Solution

The fourth proportional to 265.18, 398.10 and 222.34 is: 333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.18 : 398.10 = 222.34 : x
  2. Step 2: Convert to fraction form
    265.18/398.10 = 222.34/x
  3. Step 3: Cross multiply
    265.18x = 398.10 × 222.34
  4. Step 4: Simplify right side
    265.18x = 88,513.55
  5. Step 5: Solve for x
    x = 88,513.55/265.18
  6. Step 6: Final answer
    x = 333.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.