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Finding the Fourth Proportional to 265.45, 398.16 and 174.22

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Solution

The fourth proportional to 265.45, 398.16 and 174.22 is: 261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.45 : 398.16 = 174.22 : x
  2. Step 2: Convert to fraction form
    265.45/398.16 = 174.22/x
  3. Step 3: Cross multiply
    265.45x = 398.16 × 174.22
  4. Step 4: Simplify right side
    265.45x = 69,367.44
  5. Step 5: Solve for x
    x = 69,367.44/265.45
  6. Step 6: Final answer
    x = 261.32

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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.