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Finding the Fourth Proportional to 220.93, 305.03 and 142.29

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Solution

The fourth proportional to 220.93, 305.03 and 142.29 is: 196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.93 : 305.03 = 142.29 : x
  2. Step 2: Convert to fraction form
    220.93/305.03 = 142.29/x
  3. Step 3: Cross multiply
    220.93x = 305.03 × 142.29
  4. Step 4: Simplify right side
    220.93x = 43,402.72
  5. Step 5: Solve for x
    x = 43,402.72/220.93
  6. Step 6: Final answer
    x = 196.45

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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.