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Finding the Fourth Proportional to 259.81, 360.07 and 254.95

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Solution

The fourth proportional to 259.81, 360.07 and 254.95 is: 353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.81 : 360.07 = 254.95 : x
  2. Step 2: Convert to fraction form
    259.81/360.07 = 254.95/x
  3. Step 3: Cross multiply
    259.81x = 360.07 × 254.95
  4. Step 4: Simplify right side
    259.81x = 91,798.31
  5. Step 5: Solve for x
    x = 91,798.31/259.81
  6. Step 6: Final answer
    x = 353.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.