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Finding the Fourth Proportional to 158.62, 219.09 and 119.98

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Solution

The fourth proportional to 158.62, 219.09 and 119.98 is: 165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.62 : 219.09 = 119.98 : x
  2. Step 2: Convert to fraction form
    158.62/219.09 = 119.98/x
  3. Step 3: Cross multiply
    158.62x = 219.09 × 119.98
  4. Step 4: Simplify right side
    158.62x = 26,286.42
  5. Step 5: Solve for x
    x = 26,286.42/158.62
  6. Step 6: Final answer
    x = 165.72

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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.