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Finding the Fourth Proportional to 291.29, 437.09 and 108.71

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Solution

The fourth proportional to 291.29, 437.09 and 108.71 is: 163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.29 : 437.09 = 108.71 : x
  2. Step 2: Convert to fraction form
    291.29/437.09 = 108.71/x
  3. Step 3: Cross multiply
    291.29x = 437.09 × 108.71
  4. Step 4: Simplify right side
    291.29x = 47,515.51
  5. Step 5: Solve for x
    x = 47,515.51/291.29
  6. Step 6: Final answer
    x = 163.12

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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.