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Finding the Fourth Proportional to 291.87, 437.72 and 109.31

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Solution

The fourth proportional to 291.87, 437.72 and 109.31 is: 163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.87 : 437.72 = 109.31 : x
  2. Step 2: Convert to fraction form
    291.87/437.72 = 109.31/x
  3. Step 3: Cross multiply
    291.87x = 437.72 × 109.31
  4. Step 4: Simplify right side
    291.87x = 47,844.44
  5. Step 5: Solve for x
    x = 47,844.44/291.87
  6. Step 6: Final answer
    x = 163.92

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Why These Related Problems?

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