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Finding the Fourth Proportional to 259.37, 388.80 and 143.87

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Solution

The fourth proportional to 259.37, 388.80 and 143.87 is: 215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.37 : 388.80 = 143.87 : x
  2. Step 2: Convert to fraction form
    259.37/388.80 = 143.87/x
  3. Step 3: Cross multiply
    259.37x = 388.80 × 143.87
  4. Step 4: Simplify right side
    259.37x = 55,936.66
  5. Step 5: Solve for x
    x = 55,936.66/259.37
  6. Step 6: Final answer
    x = 215.66

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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.