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Finding the Fourth Proportional to 253.80, 382.32 and 241.92

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Solution

The fourth proportional to 253.80, 382.32 and 241.92 is: 364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.80 : 382.32 = 241.92 : x
  2. Step 2: Convert to fraction form
    253.80/382.32 = 241.92/x
  3. Step 3: Cross multiply
    253.80x = 382.32 × 241.92
  4. Step 4: Simplify right side
    253.80x = 92,490.85
  5. Step 5: Solve for x
    x = 92,490.85/253.80
  6. Step 6: Final answer
    x = 364.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.