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Finding the Fourth Proportional to 158.12, 236.91 and 112.24

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Solution

The fourth proportional to 158.12, 236.91 and 112.24 is: 168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.12 : 236.91 = 112.24 : x
  2. Step 2: Convert to fraction form
    158.12/236.91 = 112.24/x
  3. Step 3: Cross multiply
    158.12x = 236.91 × 112.24
  4. Step 4: Simplify right side
    158.12x = 26,590.78
  5. Step 5: Solve for x
    x = 26,590.78/158.12
  6. Step 6: Final answer
    x = 168.17

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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.