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Finding the Fourth Proportional to 253.80, 379.76 and 199.12

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Solution

The fourth proportional to 253.80, 379.76 and 199.12 is: 297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.80 : 379.76 = 199.12 : x
  2. Step 2: Convert to fraction form
    253.80/379.76 = 199.12/x
  3. Step 3: Cross multiply
    253.80x = 379.76 × 199.12
  4. Step 4: Simplify right side
    253.80x = 75,617.81
  5. Step 5: Solve for x
    x = 75,617.81/253.80
  6. Step 6: Final answer
    x = 297.94

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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.