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Finding the Fourth Proportional to 322.98, 485.19 and 194.82

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Solution

The fourth proportional to 322.98, 485.19 and 194.82 is: 292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 485.19 = 194.82 : x
  2. Step 2: Convert to fraction form
    322.98/485.19 = 194.82/x
  3. Step 3: Cross multiply
    322.98x = 485.19 × 194.82
  4. Step 4: Simplify right side
    322.98x = 94,524.72
  5. Step 5: Solve for x
    x = 94,524.72/322.98
  6. Step 6: Final answer
    x = 292.66

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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.