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Finding the Fourth Proportional to 265.14, 397.47 and 108.96

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Solution

The fourth proportional to 265.14, 397.47 and 108.96 is: 163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.14 : 397.47 = 108.96 : x
  2. Step 2: Convert to fraction form
    265.14/397.47 = 108.96/x
  3. Step 3: Cross multiply
    265.14x = 397.47 × 108.96
  4. Step 4: Simplify right side
    265.14x = 43,308.33
  5. Step 5: Solve for x
    x = 43,308.33/265.14
  6. Step 6: Final answer
    x = 163.34

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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.