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Finding the Fourth Proportional to 248.96, 343.36 and 178.88

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Solution

The fourth proportional to 248.96, 343.36 and 178.88 is: 246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.96 : 343.36 = 178.88 : x
  2. Step 2: Convert to fraction form
    248.96/343.36 = 178.88/x
  3. Step 3: Cross multiply
    248.96x = 343.36 × 178.88
  4. Step 4: Simplify right side
    248.96x = 61,420.24
  5. Step 5: Solve for x
    x = 61,420.24/248.96
  6. Step 6: Final answer
    x = 246.71

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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.