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Finding the Fourth Proportional to 292.54, 403.60 and 181.96

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Solution

The fourth proportional to 292.54, 403.60 and 181.96 is: 251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.54 : 403.60 = 181.96 : x
  2. Step 2: Convert to fraction form
    292.54/403.60 = 181.96/x
  3. Step 3: Cross multiply
    292.54x = 403.60 × 181.96
  4. Step 4: Simplify right side
    292.54x = 73,439.06
  5. Step 5: Solve for x
    x = 73,439.06/292.54
  6. Step 6: Final answer
    x = 251.04

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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.