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Finding the Fourth Proportional to 265.55, 398.59 and 205.34

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Solution

The fourth proportional to 265.55, 398.59 and 205.34 is: 308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.55 : 398.59 = 205.34 : x
  2. Step 2: Convert to fraction form
    265.55/398.59 = 205.34/x
  3. Step 3: Cross multiply
    265.55x = 398.59 × 205.34
  4. Step 4: Simplify right side
    265.55x = 81,843.96
  5. Step 5: Solve for x
    x = 81,843.96/265.55
  6. Step 6: Final answer
    x = 308.21

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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.