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Finding the Fourth Proportional to 265.62, 398.23 and 205.28

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Solution

The fourth proportional to 265.62, 398.23 and 205.28 is: 307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.62 : 398.23 = 205.28 : x
  2. Step 2: Convert to fraction form
    265.62/398.23 = 205.28/x
  3. Step 3: Cross multiply
    265.62x = 398.23 × 205.28
  4. Step 4: Simplify right side
    265.62x = 81,746.15
  5. Step 5: Solve for x
    x = 81,746.15/265.62
  6. Step 6: Final answer
    x = 307.76

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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.