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Finding the Fourth Proportional to 330.52, 456.04 and 199.53

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Solution

The fourth proportional to 330.52, 456.04 and 199.53 is: 275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.52 : 456.04 = 199.53 : x
  2. Step 2: Convert to fraction form
    330.52/456.04 = 199.53/x
  3. Step 3: Cross multiply
    330.52x = 456.04 × 199.53
  4. Step 4: Simplify right side
    330.52x = 90,993.66
  5. Step 5: Solve for x
    x = 90,993.66/330.52
  6. Step 6: Final answer
    x = 275.30

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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.