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Finding the Fourth Proportional to 292.54, 403.81 and 194.33

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Solution

The fourth proportional to 292.54, 403.81 and 194.33 is: 268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.54 : 403.81 = 194.33 : x
  2. Step 2: Convert to fraction form
    292.54/403.81 = 194.33/x
  3. Step 3: Cross multiply
    292.54x = 403.81 × 194.33
  4. Step 4: Simplify right side
    292.54x = 78,472.40
  5. Step 5: Solve for x
    x = 78,472.40/292.54
  6. Step 6: Final answer
    x = 268.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.