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Finding the Fourth Proportional to 253.94, 379.08 and 200.07

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Solution

The fourth proportional to 253.94, 379.08 and 200.07 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.94 : 379.08 = 200.07 : x
  2. Step 2: Convert to fraction form
    253.94/379.08 = 200.07/x
  3. Step 3: Cross multiply
    253.94x = 379.08 × 200.07
  4. Step 4: Simplify right side
    253.94x = 75,842.54
  5. Step 5: Solve for x
    x = 75,842.54/253.94
  6. Step 6: Final answer
    x = 298.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.