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Finding the Fourth Proportional to 142.36, 196.50 and 137.80

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Solution

The fourth proportional to 142.36, 196.50 and 137.80 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.36 : 196.50 = 137.80 : x
  2. Step 2: Convert to fraction form
    142.36/196.50 = 137.80/x
  3. Step 3: Cross multiply
    142.36x = 196.50 × 137.80
  4. Step 4: Simplify right side
    142.36x = 27,077.70
  5. Step 5: Solve for x
    x = 27,077.70/142.36
  6. Step 6: Final answer
    x = 190.21

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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.