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Finding the Fourth Proportional to 300.08, 451.76 and 204.50

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Solution

The fourth proportional to 300.08, 451.76 and 204.50 is: 307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.08 : 451.76 = 204.50 : x
  2. Step 2: Convert to fraction form
    300.08/451.76 = 204.50/x
  3. Step 3: Cross multiply
    300.08x = 451.76 × 204.50
  4. Step 4: Simplify right side
    300.08x = 92,384.92
  5. Step 5: Solve for x
    x = 92,384.92/300.08
  6. Step 6: Final answer
    x = 307.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.