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Finding the Fourth Proportional to 158.20, 237.06 and 109.96

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Solution

The fourth proportional to 158.20, 237.06 and 109.96 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.20 : 237.06 = 109.96 : x
  2. Step 2: Convert to fraction form
    158.20/237.06 = 109.96/x
  3. Step 3: Cross multiply
    158.20x = 237.06 × 109.96
  4. Step 4: Simplify right side
    158.20x = 26,067.12
  5. Step 5: Solve for x
    x = 26,067.12/158.20
  6. Step 6: Final answer
    x = 164.77

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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.