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Finding the Fourth Proportional to 265.89, 398.97 and 144.26

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Solution

The fourth proportional to 265.89, 398.97 and 144.26 is: 216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.89 : 398.97 = 144.26 : x
  2. Step 2: Convert to fraction form
    265.89/398.97 = 144.26/x
  3. Step 3: Cross multiply
    265.89x = 398.97 × 144.26
  4. Step 4: Simplify right side
    265.89x = 57,553.42
  5. Step 5: Solve for x
    x = 57,553.42/265.89
  6. Step 6: Final answer
    x = 216.46

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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.