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Finding the Fourth Proportional to 253.87, 349.93 and 198.51

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Solution

The fourth proportional to 253.87, 349.93 and 198.51 is: 273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.87 : 349.93 = 198.51 : x
  2. Step 2: Convert to fraction form
    253.87/349.93 = 198.51/x
  3. Step 3: Cross multiply
    253.87x = 349.93 × 198.51
  4. Step 4: Simplify right side
    253.87x = 69,464.60
  5. Step 5: Solve for x
    x = 69,464.60/253.87
  6. Step 6: Final answer
    x = 273.62

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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.