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Finding the Fourth Proportional to 330.09, 494.88 and 200.06

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Solution

The fourth proportional to 330.09, 494.88 and 200.06 is: 299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.09 : 494.88 = 200.06 : x
  2. Step 2: Convert to fraction form
    330.09/494.88 = 200.06/x
  3. Step 3: Cross multiply
    330.09x = 494.88 × 200.06
  4. Step 4: Simplify right side
    330.09x = 99,005.69
  5. Step 5: Solve for x
    x = 99,005.69/330.09
  6. Step 6: Final answer
    x = 299.94

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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.