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Finding the Fourth Proportional to 158.95, 218.91 and 138.22

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Solution

The fourth proportional to 158.95, 218.91 and 138.22 is: 190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.95 : 218.91 = 138.22 : x
  2. Step 2: Convert to fraction form
    158.95/218.91 = 138.22/x
  3. Step 3: Cross multiply
    158.95x = 218.91 × 138.22
  4. Step 4: Simplify right side
    158.95x = 30,257.74
  5. Step 5: Solve for x
    x = 30,257.74/158.95
  6. Step 6: Final answer
    x = 190.36

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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.