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Finding the Fourth Proportional to 186.72, 280.09 and 109.72

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Solution

The fourth proportional to 186.72, 280.09 and 109.72 is: 164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.72 : 280.09 = 109.72 : x
  2. Step 2: Convert to fraction form
    186.72/280.09 = 109.72/x
  3. Step 3: Cross multiply
    186.72x = 280.09 × 109.72
  4. Step 4: Simplify right side
    186.72x = 30,731.96
  5. Step 5: Solve for x
    x = 30,731.96/186.72
  6. Step 6: Final answer
    x = 164.59

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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.