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Finding the Fourth Proportional to 265.98, 398.46 and 205.08

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Solution

The fourth proportional to 265.98, 398.46 and 205.08 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.98 : 398.46 = 205.08 : x
  2. Step 2: Convert to fraction form
    265.98/398.46 = 205.08/x
  3. Step 3: Cross multiply
    265.98x = 398.46 × 205.08
  4. Step 4: Simplify right side
    265.98x = 81,716.18
  5. Step 5: Solve for x
    x = 81,716.18/265.98
  6. Step 6: Final answer
    x = 307.23

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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.