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Finding the Fourth Proportional to 220.59, 304.42 and 122.35

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Solution

The fourth proportional to 220.59, 304.42 and 122.35 is: 168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.59 : 304.42 = 122.35 : x
  2. Step 2: Convert to fraction form
    220.59/304.42 = 122.35/x
  3. Step 3: Cross multiply
    220.59x = 304.42 × 122.35
  4. Step 4: Simplify right side
    220.59x = 37,244.72
  5. Step 5: Solve for x
    x = 37,244.72/220.59
  6. Step 6: Final answer
    x = 168.84

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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.