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Finding the Fourth Proportional to 259.25, 388.12 and 243.84

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Solution

The fourth proportional to 259.25, 388.12 and 243.84 is: 365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.25 : 388.12 = 243.84 : x
  2. Step 2: Convert to fraction form
    259.25/388.12 = 243.84/x
  3. Step 3: Cross multiply
    259.25x = 388.12 × 243.84
  4. Step 4: Simplify right side
    259.25x = 94,636.52
  5. Step 5: Solve for x
    x = 94,636.52/259.25
  6. Step 6: Final answer
    x = 365.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.