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Finding the Fourth Proportional to 158.98, 219.81 and 142.42

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Solution

The fourth proportional to 158.98, 219.81 and 142.42 is: 196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.98 : 219.81 = 142.42 : x
  2. Step 2: Convert to fraction form
    158.98/219.81 = 142.42/x
  3. Step 3: Cross multiply
    158.98x = 219.81 × 142.42
  4. Step 4: Simplify right side
    158.98x = 31,305.34
  5. Step 5: Solve for x
    x = 31,305.34/158.98
  6. Step 6: Final answer
    x = 196.91

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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.