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Finding the Fourth Proportional to 265.47, 398.31 and 205.10

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Solution

The fourth proportional to 265.47, 398.31 and 205.10 is: 307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.47 : 398.31 = 205.10 : x
  2. Step 2: Convert to fraction form
    265.47/398.31 = 205.10/x
  3. Step 3: Cross multiply
    265.47x = 398.31 × 205.10
  4. Step 4: Simplify right side
    265.47x = 81,693.38
  5. Step 5: Solve for x
    x = 81,693.38/265.47
  6. Step 6: Final answer
    x = 307.73

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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.