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Finding the Fourth Proportional to 221.44, 305.73 and 207.67

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Solution

The fourth proportional to 221.44, 305.73 and 207.67 is: 286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.44 : 305.73 = 207.67 : x
  2. Step 2: Convert to fraction form
    221.44/305.73 = 207.67/x
  3. Step 3: Cross multiply
    221.44x = 305.73 × 207.67
  4. Step 4: Simplify right side
    221.44x = 63,490.95
  5. Step 5: Solve for x
    x = 63,490.95/221.44
  6. Step 6: Final answer
    x = 286.72

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Why These Related Problems?

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