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Finding the Fourth Proportional to 221.22, 304.47 and 212.94

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Solution

The fourth proportional to 221.22, 304.47 and 212.94 is: 293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.22 : 304.47 = 212.94 : x
  2. Step 2: Convert to fraction form
    221.22/304.47 = 212.94/x
  3. Step 3: Cross multiply
    221.22x = 304.47 × 212.94
  4. Step 4: Simplify right side
    221.22x = 64,833.84
  5. Step 5: Solve for x
    x = 64,833.84/221.22
  6. Step 6: Final answer
    x = 293.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.