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Finding the Fourth Proportional to 265.18, 397.09 and 213.54

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Solution

The fourth proportional to 265.18, 397.09 and 213.54 is: 319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.18 : 397.09 = 213.54 : x
  2. Step 2: Convert to fraction form
    265.18/397.09 = 213.54/x
  3. Step 3: Cross multiply
    265.18x = 397.09 × 213.54
  4. Step 4: Simplify right side
    265.18x = 84,794.60
  5. Step 5: Solve for x
    x = 84,794.60/265.18
  6. Step 6: Final answer
    x = 319.76

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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.