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Finding the Fourth Proportional to 322.01, 481.82 and 192.08

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Solution

The fourth proportional to 322.01, 481.82 and 192.08 is: 287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.01 : 481.82 = 192.08 : x
  2. Step 2: Convert to fraction form
    322.01/481.82 = 192.08/x
  3. Step 3: Cross multiply
    322.01x = 481.82 × 192.08
  4. Step 4: Simplify right side
    322.01x = 92,547.28
  5. Step 5: Solve for x
    x = 92,547.28/322.01
  6. Step 6: Final answer
    x = 287.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.