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Finding the Fourth Proportional to 265.67, 398.42 and 119.40

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Solution

The fourth proportional to 265.67, 398.42 and 119.40 is: 179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.67 : 398.42 = 119.40 : x
  2. Step 2: Convert to fraction form
    265.67/398.42 = 119.40/x
  3. Step 3: Cross multiply
    265.67x = 398.42 × 119.40
  4. Step 4: Simplify right side
    265.67x = 47,571.35
  5. Step 5: Solve for x
    x = 47,571.35/265.67
  6. Step 6: Final answer
    x = 179.06

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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.