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Finding the Fourth Proportional to 259.95, 388.40 and 213.71

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Solution

The fourth proportional to 259.95, 388.40 and 213.71 is: 319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.95 : 388.40 = 213.71 : x
  2. Step 2: Convert to fraction form
    259.95/388.40 = 213.71/x
  3. Step 3: Cross multiply
    259.95x = 388.40 × 213.71
  4. Step 4: Simplify right side
    259.95x = 83,003.56
  5. Step 5: Solve for x
    x = 83,003.56/259.95
  6. Step 6: Final answer
    x = 319.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.