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Finding the Fourth Proportional to 186.00, 278.64 and 109.00

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Solution

The fourth proportional to 186.00, 278.64 and 109.00 is: 163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.00 : 278.64 = 109.00 : x
  2. Step 2: Convert to fraction form
    186.00/278.64 = 109.00/x
  3. Step 3: Cross multiply
    186.00x = 278.64 × 109.00
  4. Step 4: Simplify right side
    186.00x = 30,370.54
  5. Step 5: Solve for x
    x = 30,370.54/186.00
  6. Step 6: Final answer
    x = 163.29

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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.