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Finding the Fourth Proportional to 265.83, 398.81 and 111.66

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Solution

The fourth proportional to 265.83, 398.81 and 111.66 is: 167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.83 : 398.81 = 111.66 : x
  2. Step 2: Convert to fraction form
    265.83/398.81 = 111.66/x
  3. Step 3: Cross multiply
    265.83x = 398.81 × 111.66
  4. Step 4: Simplify right side
    265.83x = 44,530.57
  5. Step 5: Solve for x
    x = 44,530.57/265.83
  6. Step 6: Final answer
    x = 167.52

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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.