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Finding the Fourth Proportional to 330.54, 456.07 and 199.54

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Solution

The fourth proportional to 330.54, 456.07 and 199.54 is: 275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.54 : 456.07 = 199.54 : x
  2. Step 2: Convert to fraction form
    330.54/456.07 = 199.54/x
  3. Step 3: Cross multiply
    330.54x = 456.07 × 199.54
  4. Step 4: Simplify right side
    330.54x = 91,004.28
  5. Step 5: Solve for x
    x = 91,004.28/330.54
  6. Step 6: Final answer
    x = 275.32

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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.