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Finding the Fourth Proportional to 248.22, 371.86 and 193.86

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Solution

The fourth proportional to 248.22, 371.86 and 193.86 is: 290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.22 : 371.86 = 193.86 : x
  2. Step 2: Convert to fraction form
    248.22/371.86 = 193.86/x
  3. Step 3: Cross multiply
    248.22x = 371.86 × 193.86
  4. Step 4: Simplify right side
    248.22x = 72,088.29
  5. Step 5: Solve for x
    x = 72,088.29/248.22
  6. Step 6: Final answer
    x = 290.42

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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.