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Finding the Fourth Proportional to 921.94, 1,382.92 and 237.94

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Solution

The fourth proportional to 921.94, 1,382.92 and 237.94 is: 356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.94 : 1,382.92 = 237.94 : x
  2. Step 2: Convert to fraction form
    921.94/1,382.92 = 237.94/x
  3. Step 3: Cross multiply
    921.94x = 1,382.92 × 237.94
  4. Step 4: Simplify right side
    921.94x = 329,047.93
  5. Step 5: Solve for x
    x = 329,047.93/921.94
  6. Step 6: Final answer
    x = 356.91

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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.