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Finding the Fourth Proportional to 265.50, 398.16 and 119.21

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Solution

The fourth proportional to 265.50, 398.16 and 119.21 is: 178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.50 : 398.16 = 119.21 : x
  2. Step 2: Convert to fraction form
    265.50/398.16 = 119.21/x
  3. Step 3: Cross multiply
    265.50x = 398.16 × 119.21
  4. Step 4: Simplify right side
    265.50x = 47,462.66
  5. Step 5: Solve for x
    x = 47,462.66/265.50
  6. Step 6: Final answer
    x = 178.77

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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.