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Finding the Fourth Proportional to 215.62, 321.11 and 206.26

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Solution

The fourth proportional to 215.62, 321.11 and 206.26 is: 307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.62 : 321.11 = 206.26 : x
  2. Step 2: Convert to fraction form
    215.62/321.11 = 206.26/x
  3. Step 3: Cross multiply
    215.62x = 321.11 × 206.26
  4. Step 4: Simplify right side
    215.62x = 66,232.15
  5. Step 5: Solve for x
    x = 66,232.15/215.62
  6. Step 6: Final answer
    x = 307.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.