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Finding the Fourth Proportional to 265.20, 365.40 and 221.04

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Solution

The fourth proportional to 265.20, 365.40 and 221.04 is: 304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.20 : 365.40 = 221.04 : x
  2. Step 2: Convert to fraction form
    265.20/365.40 = 221.04/x
  3. Step 3: Cross multiply
    265.20x = 365.40 × 221.04
  4. Step 4: Simplify right side
    265.20x = 80,768.02
  5. Step 5: Solve for x
    x = 80,768.02/265.20
  6. Step 6: Final answer
    x = 304.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.