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Finding the Fourth Proportional to 259.20, 356.94 and 209.70

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Solution

The fourth proportional to 259.20, 356.94 and 209.70 is: 288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 356.94 = 209.70 : x
  2. Step 2: Convert to fraction form
    259.20/356.94 = 209.70/x
  3. Step 3: Cross multiply
    259.20x = 356.94 × 209.70
  4. Step 4: Simplify right side
    259.20x = 74,850.32
  5. Step 5: Solve for x
    x = 74,850.32/259.20
  6. Step 6: Final answer
    x = 288.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.