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Finding the Fourth Proportional to 158.20, 236.82 and 144

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Solution

The fourth proportional to 158.20, 236.82 and 144 is: 215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.20 : 236.82 = 144 : x
  2. Step 2: Convert to fraction form
    158.20/236.82 = 144/x
  3. Step 3: Cross multiply
    158.20x = 236.82 × 144
  4. Step 4: Simplify right side
    158.20x = 34,102.08
  5. Step 5: Solve for x
    x = 34,102.08/158.20
  6. Step 6: Final answer
    x = 215.56

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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.