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Finding the Fourth Proportional to 291.10, 435.57 and 173.54

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Solution

The fourth proportional to 291.10, 435.57 and 173.54 is: 259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.10 : 435.57 = 173.54 : x
  2. Step 2: Convert to fraction form
    291.10/435.57 = 173.54/x
  3. Step 3: Cross multiply
    291.10x = 435.57 × 173.54
  4. Step 4: Simplify right side
    291.10x = 75,589.26
  5. Step 5: Solve for x
    x = 75,589.26/291.10
  6. Step 6: Final answer
    x = 259.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.