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Finding the Fourth Proportional to 158.73, 219.04 and 117.31

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Solution

The fourth proportional to 158.73, 219.04 and 117.31 is: 161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.73 : 219.04 = 117.31 : x
  2. Step 2: Convert to fraction form
    158.73/219.04 = 117.31/x
  3. Step 3: Cross multiply
    158.73x = 219.04 × 117.31
  4. Step 4: Simplify right side
    158.73x = 25,695.58
  5. Step 5: Solve for x
    x = 25,695.58/158.73
  6. Step 6: Final answer
    x = 161.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.