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Finding the Fourth Proportional to 265.70, 398.56 and 205.58

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Solution

The fourth proportional to 265.70, 398.56 and 205.58 is: 308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.70 : 398.56 = 205.58 : x
  2. Step 2: Convert to fraction form
    265.70/398.56 = 205.58/x
  3. Step 3: Cross multiply
    265.70x = 398.56 × 205.58
  4. Step 4: Simplify right side
    265.70x = 81,935.96
  5. Step 5: Solve for x
    x = 81,935.96/265.70
  6. Step 6: Final answer
    x = 308.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.