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Finding the Fourth Proportional to 265.21, 397.64 and 111.09

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Solution

The fourth proportional to 265.21, 397.64 and 111.09 is: 166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.21 : 397.64 = 111.09 : x
  2. Step 2: Convert to fraction form
    265.21/397.64 = 111.09/x
  3. Step 3: Cross multiply
    265.21x = 397.64 × 111.09
  4. Step 4: Simplify right side
    265.21x = 44,172.73
  5. Step 5: Solve for x
    x = 44,172.73/265.21
  6. Step 6: Final answer
    x = 166.56

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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.