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Finding the Fourth Proportional to 265.82, 398.70 and 111.75

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Solution

The fourth proportional to 265.82, 398.70 and 111.75 is: 167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.82 : 398.70 = 111.75 : x
  2. Step 2: Convert to fraction form
    265.82/398.70 = 111.75/x
  3. Step 3: Cross multiply
    265.82x = 398.70 × 111.75
  4. Step 4: Simplify right side
    265.82x = 44,554.73
  5. Step 5: Solve for x
    x = 44,554.73/265.82
  6. Step 6: Final answer
    x = 167.62

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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.