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Finding the Fourth Proportional to 237.74, 326.94 and 190.52

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Solution

The fourth proportional to 237.74, 326.94 and 190.52 is: 262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.74 : 326.94 = 190.52 : x
  2. Step 2: Convert to fraction form
    237.74/326.94 = 190.52/x
  3. Step 3: Cross multiply
    237.74x = 326.94 × 190.52
  4. Step 4: Simplify right side
    237.74x = 62,288.61
  5. Step 5: Solve for x
    x = 62,288.61/237.74
  6. Step 6: Final answer
    x = 262.00

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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.