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Finding the Fourth Proportional to 248.56, 343.35 and 194.01

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Solution

The fourth proportional to 248.56, 343.35 and 194.01 is: 268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.56 : 343.35 = 194.01 : x
  2. Step 2: Convert to fraction form
    248.56/343.35 = 194.01/x
  3. Step 3: Cross multiply
    248.56x = 343.35 × 194.01
  4. Step 4: Simplify right side
    248.56x = 66,612.36
  5. Step 5: Solve for x
    x = 66,612.36/248.56
  6. Step 6: Final answer
    x = 268.00

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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.