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Finding the Fourth Proportional to 171.94, 237.30 and 119.45

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Solution

The fourth proportional to 171.94, 237.30 and 119.45 is: 164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.94 : 237.30 = 119.45 : x
  2. Step 2: Convert to fraction form
    171.94/237.30 = 119.45/x
  3. Step 3: Cross multiply
    171.94x = 237.30 × 119.45
  4. Step 4: Simplify right side
    171.94x = 28,345.41
  5. Step 5: Solve for x
    x = 28,345.41/171.94
  6. Step 6: Final answer
    x = 164.86

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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.