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Finding the Fourth Proportional to 220.51, 304.22 and 141.81

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Solution

The fourth proportional to 220.51, 304.22 and 141.81 is: 195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.51 : 304.22 = 141.81 : x
  2. Step 2: Convert to fraction form
    220.51/304.22 = 141.81/x
  3. Step 3: Cross multiply
    220.51x = 304.22 × 141.81
  4. Step 4: Simplify right side
    220.51x = 43,141.44
  5. Step 5: Solve for x
    x = 43,141.44/220.51
  6. Step 6: Final answer
    x = 195.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.