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Finding the Fourth Proportional to 330, 455.40 and 199.04

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Solution

The fourth proportional to 330, 455.40 and 199.04 is: 274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330 : 455.40 = 199.04 : x
  2. Step 2: Convert to fraction form
    330/455.40 = 199.04/x
  3. Step 3: Cross multiply
    330x = 455.40 × 199.04
  4. Step 4: Simplify right side
    330x = 90,642.82
  5. Step 5: Solve for x
    x = 90,642.82/330
  6. Step 6: Final answer
    x = 274.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.