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Finding the Fourth Proportional to 265.30, 398.01 and 111.17

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Solution

The fourth proportional to 265.30, 398.01 and 111.17 is: 166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.30 : 398.01 = 111.17 : x
  2. Step 2: Convert to fraction form
    265.30/398.01 = 111.17/x
  3. Step 3: Cross multiply
    265.30x = 398.01 × 111.17
  4. Step 4: Simplify right side
    265.30x = 44,246.77
  5. Step 5: Solve for x
    x = 44,246.77/265.30
  6. Step 6: Final answer
    x = 166.78

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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.