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Finding the Fourth Proportional to 265.62, 365.71 and 218.85

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Solution

The fourth proportional to 265.62, 365.71 and 218.85 is: 301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.62 : 365.71 = 218.85 : x
  2. Step 2: Convert to fraction form
    265.62/365.71 = 218.85/x
  3. Step 3: Cross multiply
    265.62x = 365.71 × 218.85
  4. Step 4: Simplify right side
    265.62x = 80,035.63
  5. Step 5: Solve for x
    x = 80,035.63/265.62
  6. Step 6: Final answer
    x = 301.32

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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.