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Finding the Fourth Proportional to 220.54, 304.27 and 128.54

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Solution

The fourth proportional to 220.54, 304.27 and 128.54 is: 177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.54 : 304.27 = 128.54 : x
  2. Step 2: Convert to fraction form
    220.54/304.27 = 128.54/x
  3. Step 3: Cross multiply
    220.54x = 304.27 × 128.54
  4. Step 4: Simplify right side
    220.54x = 39,110.87
  5. Step 5: Solve for x
    x = 39,110.87/220.54
  6. Step 6: Final answer
    x = 177.34

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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.