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Finding the Fourth Proportional to 220.96, 304.92 and 133.64

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Solution

The fourth proportional to 220.96, 304.92 and 133.64 is: 184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.96 : 304.92 = 133.64 : x
  2. Step 2: Convert to fraction form
    220.96/304.92 = 133.64/x
  3. Step 3: Cross multiply
    220.96x = 304.92 × 133.64
  4. Step 4: Simplify right side
    220.96x = 40,749.51
  5. Step 5: Solve for x
    x = 40,749.51/220.96
  6. Step 6: Final answer
    x = 184.42

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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.