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Finding the Fourth Proportional to 221.16, 305.16 and 133.77

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Solution

The fourth proportional to 221.16, 305.16 and 133.77 is: 184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.16 : 305.16 = 133.77 : x
  2. Step 2: Convert to fraction form
    221.16/305.16 = 133.77/x
  3. Step 3: Cross multiply
    221.16x = 305.16 × 133.77
  4. Step 4: Simplify right side
    221.16x = 40,821.25
  5. Step 5: Solve for x
    x = 40,821.25/221.16
  6. Step 6: Final answer
    x = 184.58

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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.