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Finding the Fourth Proportional to 259.36, 389.14 and 182.14

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Solution

The fourth proportional to 259.36, 389.14 and 182.14 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.36 : 389.14 = 182.14 : x
  2. Step 2: Convert to fraction form
    259.36/389.14 = 182.14/x
  3. Step 3: Cross multiply
    259.36x = 389.14 × 182.14
  4. Step 4: Simplify right side
    259.36x = 70,877.96
  5. Step 5: Solve for x
    x = 70,877.96/259.36
  6. Step 6: Final answer
    x = 273.28

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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.