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Finding the Fourth Proportional to 259.98, 389.32 and 182.58

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Solution

The fourth proportional to 259.98, 389.32 and 182.58 is: 273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.98 : 389.32 = 182.58 : x
  2. Step 2: Convert to fraction form
    259.98/389.32 = 182.58/x
  3. Step 3: Cross multiply
    259.98x = 389.32 × 182.58
  4. Step 4: Simplify right side
    259.98x = 71,082.05
  5. Step 5: Solve for x
    x = 71,082.05/259.98
  6. Step 6: Final answer
    x = 273.41

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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.