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Finding the Fourth Proportional to 259.31, 388.98 and 85.99

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Solution

The fourth proportional to 259.31, 388.98 and 85.99 is: 128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.31 : 388.98 = 85.99 : x
  2. Step 2: Convert to fraction form
    259.31/388.98 = 85.99/x
  3. Step 3: Cross multiply
    259.31x = 388.98 × 85.99
  4. Step 4: Simplify right side
    259.31x = 33,447.42
  5. Step 5: Solve for x
    x = 33,447.42/259.31
  6. Step 6: Final answer
    x = 128.99

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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.