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Finding the Fourth Proportional to 330.25, 455.75 and 192.25

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Solution

The fourth proportional to 330.25, 455.75 and 192.25 is: 265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.25 : 455.75 = 192.25 : x
  2. Step 2: Convert to fraction form
    330.25/455.75 = 192.25/x
  3. Step 3: Cross multiply
    330.25x = 455.75 × 192.25
  4. Step 4: Simplify right side
    330.25x = 87,616.98
  5. Step 5: Solve for x
    x = 87,616.98/330.25
  6. Step 6: Final answer
    x = 265.31

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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.