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Finding the Fourth Proportional to 265.96, 398.32 and 204.60

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Solution

The fourth proportional to 265.96, 398.32 and 204.60 is: 306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.96 : 398.32 = 204.60 : x
  2. Step 2: Convert to fraction form
    265.96/398.32 = 204.60/x
  3. Step 3: Cross multiply
    265.96x = 398.32 × 204.60
  4. Step 4: Simplify right side
    265.96x = 81,495.25
  5. Step 5: Solve for x
    x = 81,495.25/265.96
  6. Step 6: Final answer
    x = 306.42

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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.