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Finding the Fourth Proportional to 259.84, 356.12 and 249.76

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Solution

The fourth proportional to 259.84, 356.12 and 249.76 is: 342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.84 : 356.12 = 249.76 : x
  2. Step 2: Convert to fraction form
    259.84/356.12 = 249.76/x
  3. Step 3: Cross multiply
    259.84x = 356.12 × 249.76
  4. Step 4: Simplify right side
    259.84x = 88,944.53
  5. Step 5: Solve for x
    x = 88,944.53/259.84
  6. Step 6: Final answer
    x = 342.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.