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Finding the Fourth Proportional to 145.72, 200.82 and 142.12

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Solution

The fourth proportional to 145.72, 200.82 and 142.12 is: 195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.72 : 200.82 = 142.12 : x
  2. Step 2: Convert to fraction form
    145.72/200.82 = 142.12/x
  3. Step 3: Cross multiply
    145.72x = 200.82 × 142.12
  4. Step 4: Simplify right side
    145.72x = 28,540.54
  5. Step 5: Solve for x
    x = 28,540.54/145.72
  6. Step 6: Final answer
    x = 195.86

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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.