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Finding the Fourth Proportional to 265.58, 398.05 and 111.31

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Solution

The fourth proportional to 265.58, 398.05 and 111.31 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.58 : 398.05 = 111.31 : x
  2. Step 2: Convert to fraction form
    265.58/398.05 = 111.31/x
  3. Step 3: Cross multiply
    265.58x = 398.05 × 111.31
  4. Step 4: Simplify right side
    265.58x = 44,305.67
  5. Step 5: Solve for x
    x = 44,305.67/265.58
  6. Step 6: Final answer
    x = 166.83

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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.