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Finding the Fourth Proportional to 221.41, 305.44 and 146.80

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Solution

The fourth proportional to 221.41, 305.44 and 146.80 is: 202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.41 : 305.44 = 146.80 : x
  2. Step 2: Convert to fraction form
    221.41/305.44 = 146.80/x
  3. Step 3: Cross multiply
    221.41x = 305.44 × 146.80
  4. Step 4: Simplify right side
    221.41x = 44,838.59
  5. Step 5: Solve for x
    x = 44,838.59/221.41
  6. Step 6: Final answer
    x = 202.51

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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.