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Finding the Fourth Proportional to 291.59, 402.47 and 181

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Solution

The fourth proportional to 291.59, 402.47 and 181 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.59 : 402.47 = 181 : x
  2. Step 2: Convert to fraction form
    291.59/402.47 = 181/x
  3. Step 3: Cross multiply
    291.59x = 402.47 × 181
  4. Step 4: Simplify right side
    291.59x = 72,847.07
  5. Step 5: Solve for x
    x = 72,847.07/291.59
  6. Step 6: Final answer
    x = 249.83

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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.