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Finding the Fourth Proportional to 291.85, 402.73 and 181.29

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Solution

The fourth proportional to 291.85, 402.73 and 181.29 is: 250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.85 : 402.73 = 181.29 : x
  2. Step 2: Convert to fraction form
    291.85/402.73 = 181.29/x
  3. Step 3: Cross multiply
    291.85x = 402.73 × 181.29
  4. Step 4: Simplify right side
    291.85x = 73,010.92
  5. Step 5: Solve for x
    x = 73,010.92/291.85
  6. Step 6: Final answer
    x = 250.17

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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.