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Finding the Fourth Proportional to 265.74, 398.44 and 109.42

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Solution

The fourth proportional to 265.74, 398.44 and 109.42 is: 164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.74 : 398.44 = 109.42 : x
  2. Step 2: Convert to fraction form
    265.74/398.44 = 109.42/x
  3. Step 3: Cross multiply
    265.74x = 398.44 × 109.42
  4. Step 4: Simplify right side
    265.74x = 43,597.30
  5. Step 5: Solve for x
    x = 43,597.30/265.74
  6. Step 6: Final answer
    x = 164.06

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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.