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Finding the Fourth Proportional to 220.96, 304.93 and 122.75

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Solution

The fourth proportional to 220.96, 304.93 and 122.75 is: 169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.96 : 304.93 = 122.75 : x
  2. Step 2: Convert to fraction form
    220.96/304.93 = 122.75/x
  3. Step 3: Cross multiply
    220.96x = 304.93 × 122.75
  4. Step 4: Simplify right side
    220.96x = 37,429.93
  5. Step 5: Solve for x
    x = 37,429.93/220.96
  6. Step 6: Final answer
    x = 169.40

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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.