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Finding the Fourth Proportional to 291.96, 402.90 and 193.89

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Solution

The fourth proportional to 291.96, 402.90 and 193.89 is: 267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.96 : 402.90 = 193.89 : x
  2. Step 2: Convert to fraction form
    291.96/402.90 = 193.89/x
  3. Step 3: Cross multiply
    291.96x = 402.90 × 193.89
  4. Step 4: Simplify right side
    291.96x = 78,118.28
  5. Step 5: Solve for x
    x = 78,118.28/291.96
  6. Step 6: Final answer
    x = 267.57

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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.