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Finding the Fourth Proportional to 291.75, 402.69 and 173.80

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Solution

The fourth proportional to 291.75, 402.69 and 173.80 is: 239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.75 : 402.69 = 173.80 : x
  2. Step 2: Convert to fraction form
    291.75/402.69 = 173.80/x
  3. Step 3: Cross multiply
    291.75x = 402.69 × 173.80
  4. Step 4: Simplify right side
    291.75x = 69,989.18
  5. Step 5: Solve for x
    x = 69,989.18/291.75
  6. Step 6: Final answer
    x = 239.90

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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.