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Finding the Fourth Proportional to 253.97, 378.99 and 228.12

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Solution

The fourth proportional to 253.97, 378.99 and 228.12 is: 340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.97 : 378.99 = 228.12 : x
  2. Step 2: Convert to fraction form
    253.97/378.99 = 228.12/x
  3. Step 3: Cross multiply
    253.97x = 378.99 × 228.12
  4. Step 4: Simplify right side
    253.97x = 86,455.20
  5. Step 5: Solve for x
    x = 86,455.20/253.97
  6. Step 6: Final answer
    x = 340.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.