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Finding the Fourth Proportional to 259.53, 389.17 and 182.98

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Solution

The fourth proportional to 259.53, 389.17 and 182.98 is: 274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.53 : 389.17 = 182.98 : x
  2. Step 2: Convert to fraction form
    259.53/389.17 = 182.98/x
  3. Step 3: Cross multiply
    259.53x = 389.17 × 182.98
  4. Step 4: Simplify right side
    259.53x = 71,210.33
  5. Step 5: Solve for x
    x = 71,210.33/259.53
  6. Step 6: Final answer
    x = 274.38

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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.