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Finding the Fourth Proportional to 215.64, 321.36 and 203.94

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Solution

The fourth proportional to 215.64, 321.36 and 203.94 is: 303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.64 : 321.36 = 203.94 : x
  2. Step 2: Convert to fraction form
    215.64/321.36 = 203.94/x
  3. Step 3: Cross multiply
    215.64x = 321.36 × 203.94
  4. Step 4: Simplify right side
    215.64x = 65,538.16
  5. Step 5: Solve for x
    x = 65,538.16/215.64
  6. Step 6: Final answer
    x = 303.92

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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.