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Finding the Fourth Proportional to 253.29, 379.72 and 109.11

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Solution

The fourth proportional to 253.29, 379.72 and 109.11 is: 163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.29 : 379.72 = 109.11 : x
  2. Step 2: Convert to fraction form
    253.29/379.72 = 109.11/x
  3. Step 3: Cross multiply
    253.29x = 379.72 × 109.11
  4. Step 4: Simplify right side
    253.29x = 41,431.25
  5. Step 5: Solve for x
    x = 41,431.25/253.29
  6. Step 6: Final answer
    x = 163.57

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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.