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Finding the Fourth Proportional to 265.05, 397.35 and 111

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Solution

The fourth proportional to 265.05, 397.35 and 111 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.05 : 397.35 = 111 : x
  2. Step 2: Convert to fraction form
    265.05/397.35 = 111/x
  3. Step 3: Cross multiply
    265.05x = 397.35 × 111
  4. Step 4: Simplify right side
    265.05x = 44,105.85
  5. Step 5: Solve for x
    x = 44,105.85/265.05
  6. Step 6: Final answer
    x = 166.41

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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.