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Finding the Fourth Proportional to 221.40, 305.73 and 178.05

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Solution

The fourth proportional to 221.40, 305.73 and 178.05 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.40 : 305.73 = 178.05 : x
  2. Step 2: Convert to fraction form
    221.40/305.73 = 178.05/x
  3. Step 3: Cross multiply
    221.40x = 305.73 × 178.05
  4. Step 4: Simplify right side
    221.40x = 54,435.23
  5. Step 5: Solve for x
    x = 54,435.23/221.40
  6. Step 6: Final answer
    x = 245.87

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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.