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Finding the Fourth Proportional to 146, 202.24 and 142.64

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Solution

The fourth proportional to 146, 202.24 and 142.64 is: 197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146 : 202.24 = 142.64 : x
  2. Step 2: Convert to fraction form
    146/202.24 = 142.64/x
  3. Step 3: Cross multiply
    146x = 202.24 × 142.64
  4. Step 4: Simplify right side
    146x = 28,847.51
  5. Step 5: Solve for x
    x = 28,847.51/146
  6. Step 6: Final answer
    x = 197.59

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.