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Finding the Fourth Proportional to 159.00, 238.63 and 127.14

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Solution

The fourth proportional to 159.00, 238.63 and 127.14 is: 190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.00 : 238.63 = 127.14 : x
  2. Step 2: Convert to fraction form
    159.00/238.63 = 127.14/x
  3. Step 3: Cross multiply
    159.00x = 238.63 × 127.14
  4. Step 4: Simplify right side
    159.00x = 30,338.23
  5. Step 5: Solve for x
    x = 30,338.23/159.00
  6. Step 6: Final answer
    x = 190.81

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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.