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Finding the Fourth Proportional to 158.81, 238.41 and 90.36

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Solution

The fourth proportional to 158.81, 238.41 and 90.36 is: 135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.81 : 238.41 = 90.36 : x
  2. Step 2: Convert to fraction form
    158.81/238.41 = 90.36/x
  3. Step 3: Cross multiply
    158.81x = 238.41 × 90.36
  4. Step 4: Simplify right side
    158.81x = 21,542.73
  5. Step 5: Solve for x
    x = 21,542.73/158.81
  6. Step 6: Final answer
    x = 135.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.