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Finding the Fourth Proportional to 215.92, 321.71 and 203.50

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Solution

The fourth proportional to 215.92, 321.71 and 203.50 is: 303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.92 : 321.71 = 203.50 : x
  2. Step 2: Convert to fraction form
    215.92/321.71 = 203.50/x
  3. Step 3: Cross multiply
    215.92x = 321.71 × 203.50
  4. Step 4: Simplify right side
    215.92x = 65,467.99
  5. Step 5: Solve for x
    x = 65,467.99/215.92
  6. Step 6: Final answer
    x = 303.20

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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.