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Finding the Fourth Proportional to 158.08, 236.94 and 109.84

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Solution

The fourth proportional to 158.08, 236.94 and 109.84 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.08 : 236.94 = 109.84 : x
  2. Step 2: Convert to fraction form
    158.08/236.94 = 109.84/x
  3. Step 3: Cross multiply
    158.08x = 236.94 × 109.84
  4. Step 4: Simplify right side
    158.08x = 26,025.49
  5. Step 5: Solve for x
    x = 26,025.49/158.08
  6. Step 6: Final answer
    x = 164.63

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Why These Related Problems?

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