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Finding the Fourth Proportional to 159.30, 221.31 and 157.80

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Solution

The fourth proportional to 159.30, 221.31 and 157.80 is: 219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.30 : 221.31 = 157.80 : x
  2. Step 2: Convert to fraction form
    159.30/221.31 = 157.80/x
  3. Step 3: Cross multiply
    159.30x = 221.31 × 157.80
  4. Step 4: Simplify right side
    159.30x = 34,922.72
  5. Step 5: Solve for x
    x = 34,922.72/159.30
  6. Step 6: Final answer
    x = 219.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.