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Finding the Fourth Proportional to 248.58, 372.87 and 219.78

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Solution

The fourth proportional to 248.58, 372.87 and 219.78 is: 329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.58 : 372.87 = 219.78 : x
  2. Step 2: Convert to fraction form
    248.58/372.87 = 219.78/x
  3. Step 3: Cross multiply
    248.58x = 372.87 × 219.78
  4. Step 4: Simplify right side
    248.58x = 81,949.37
  5. Step 5: Solve for x
    x = 81,949.37/248.58
  6. Step 6: Final answer
    x = 329.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.