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Finding the Fourth Proportional to 265.40, 398.21 and 204.65

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Solution

The fourth proportional to 265.40, 398.21 and 204.65 is: 307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.40 : 398.21 = 204.65 : x
  2. Step 2: Convert to fraction form
    265.40/398.21 = 204.65/x
  3. Step 3: Cross multiply
    265.40x = 398.21 × 204.65
  4. Step 4: Simplify right side
    265.40x = 81,493.68
  5. Step 5: Solve for x
    x = 81,493.68/265.40
  6. Step 6: Final answer
    x = 307.06

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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.