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Finding the Fourth Proportional to 303.95, 455.69 and 200.07

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Solution

The fourth proportional to 303.95, 455.69 and 200.07 is: 299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.95 : 455.69 = 200.07 : x
  2. Step 2: Convert to fraction form
    303.95/455.69 = 200.07/x
  3. Step 3: Cross multiply
    303.95x = 455.69 × 200.07
  4. Step 4: Simplify right side
    303.95x = 91,170.40
  5. Step 5: Solve for x
    x = 91,170.40/303.95
  6. Step 6: Final answer
    x = 299.95

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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.