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Finding the Fourth Proportional to 248.78, 343.30 and 155.56

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Solution

The fourth proportional to 248.78, 343.30 and 155.56 is: 214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.78 : 343.30 = 155.56 : x
  2. Step 2: Convert to fraction form
    248.78/343.30 = 155.56/x
  3. Step 3: Cross multiply
    248.78x = 343.30 × 155.56
  4. Step 4: Simplify right side
    248.78x = 53,403.75
  5. Step 5: Solve for x
    x = 53,403.75/248.78
  6. Step 6: Final answer
    x = 214.66

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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.