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Finding the Fourth Proportional to 167.54, 230.99 and 137.93

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Solution

The fourth proportional to 167.54, 230.99 and 137.93 is: 190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 230.99 = 137.93 : x
  2. Step 2: Convert to fraction form
    167.54/230.99 = 137.93/x
  3. Step 3: Cross multiply
    167.54x = 230.99 × 137.93
  4. Step 4: Simplify right side
    167.54x = 31,858.61
  5. Step 5: Solve for x
    x = 31,858.61/167.54
  6. Step 6: Final answer
    x = 190.16

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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.