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Finding the Fourth Proportional to 221.29, 305.34 and 133.93

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Solution

The fourth proportional to 221.29, 305.34 and 133.93 is: 184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.29 : 305.34 = 133.93 : x
  2. Step 2: Convert to fraction form
    221.29/305.34 = 133.93/x
  3. Step 3: Cross multiply
    221.29x = 305.34 × 133.93
  4. Step 4: Simplify right side
    221.29x = 40,894.19
  5. Step 5: Solve for x
    x = 40,894.19/221.29
  6. Step 6: Final answer
    x = 184.80

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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.