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Finding the Fourth Proportional to 221.56, 305.76 and 134.24

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Solution

The fourth proportional to 221.56, 305.76 and 134.24 is: 185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.56 : 305.76 = 134.24 : x
  2. Step 2: Convert to fraction form
    221.56/305.76 = 134.24/x
  3. Step 3: Cross multiply
    221.56x = 305.76 × 134.24
  4. Step 4: Simplify right side
    221.56x = 41,045.22
  5. Step 5: Solve for x
    x = 41,045.22/221.56
  6. Step 6: Final answer
    x = 185.26

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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.