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Finding the Fourth Proportional to 147.08, 202.62 and 119.43

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Solution

The fourth proportional to 147.08, 202.62 and 119.43 is: 164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.08 : 202.62 = 119.43 : x
  2. Step 2: Convert to fraction form
    147.08/202.62 = 119.43/x
  3. Step 3: Cross multiply
    147.08x = 202.62 × 119.43
  4. Step 4: Simplify right side
    147.08x = 24,198.91
  5. Step 5: Solve for x
    x = 24,198.91/147.08
  6. Step 6: Final answer
    x = 164.53

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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.