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Finding the Fourth Proportional to 291.90, 438.01 and 109.27

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Solution

The fourth proportional to 291.90, 438.01 and 109.27 is: 163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.90 : 438.01 = 109.27 : x
  2. Step 2: Convert to fraction form
    291.90/438.01 = 109.27/x
  3. Step 3: Cross multiply
    291.90x = 438.01 × 109.27
  4. Step 4: Simplify right side
    291.90x = 47,861.35
  5. Step 5: Solve for x
    x = 47,861.35/291.90
  6. Step 6: Final answer
    x = 163.96

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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.