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Finding the Fourth Proportional to 248.76, 372.77 and 199.76

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Solution

The fourth proportional to 248.76, 372.77 and 199.76 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.76 : 372.77 = 199.76 : x
  2. Step 2: Convert to fraction form
    248.76/372.77 = 199.76/x
  3. Step 3: Cross multiply
    248.76x = 372.77 × 199.76
  4. Step 4: Simplify right side
    248.76x = 74,464.54
  5. Step 5: Solve for x
    x = 74,464.54/248.76
  6. Step 6: Final answer
    x = 299.34

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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.