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Finding the Fourth Proportional to 248.96, 343.64 and 144.12

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Solution

The fourth proportional to 248.96, 343.64 and 144.12 is: 198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.96 : 343.64 = 144.12 : x
  2. Step 2: Convert to fraction form
    248.96/343.64 = 144.12/x
  3. Step 3: Cross multiply
    248.96x = 343.64 × 144.12
  4. Step 4: Simplify right side
    248.96x = 49,525.40
  5. Step 5: Solve for x
    x = 49,525.40/248.96
  6. Step 6: Final answer
    x = 198.93

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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.