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Finding the Fourth Proportional to 265.41, 398.10 and 119.12

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Solution

The fourth proportional to 265.41, 398.10 and 119.12 is: 178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.41 : 398.10 = 119.12 : x
  2. Step 2: Convert to fraction form
    265.41/398.10 = 119.12/x
  3. Step 3: Cross multiply
    265.41x = 398.10 × 119.12
  4. Step 4: Simplify right side
    265.41x = 47,422.67
  5. Step 5: Solve for x
    x = 47,422.67/265.41
  6. Step 6: Final answer
    x = 178.68

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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.