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Finding the Fourth Proportional to 329.92, 455.28 and 190.05

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Solution

The fourth proportional to 329.92, 455.28 and 190.05 is: 262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.92 : 455.28 = 190.05 : x
  2. Step 2: Convert to fraction form
    329.92/455.28 = 190.05/x
  3. Step 3: Cross multiply
    329.92x = 455.28 × 190.05
  4. Step 4: Simplify right side
    329.92x = 86,525.96
  5. Step 5: Solve for x
    x = 86,525.96/329.92
  6. Step 6: Final answer
    x = 262.26

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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.