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Finding the Fourth Proportional to 154.07, 230.83 and 137.33

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Solution

The fourth proportional to 154.07, 230.83 and 137.33 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.07 : 230.83 = 137.33 : x
  2. Step 2: Convert to fraction form
    154.07/230.83 = 137.33/x
  3. Step 3: Cross multiply
    154.07x = 230.83 × 137.33
  4. Step 4: Simplify right side
    154.07x = 31,699.88
  5. Step 5: Solve for x
    x = 31,699.88/154.07
  6. Step 6: Final answer
    x = 205.75

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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.