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Finding the Fourth Proportional to 248.88, 343.20 and 150.54

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Solution

The fourth proportional to 248.88, 343.20 and 150.54 is: 207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.88 : 343.20 = 150.54 : x
  2. Step 2: Convert to fraction form
    248.88/343.20 = 150.54/x
  3. Step 3: Cross multiply
    248.88x = 343.20 × 150.54
  4. Step 4: Simplify right side
    248.88x = 51,665.33
  5. Step 5: Solve for x
    x = 51,665.33/248.88
  6. Step 6: Final answer
    x = 207.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.