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Finding the Fourth Proportional to 257.94, 356.27 and 209.07

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Solution

The fourth proportional to 257.94, 356.27 and 209.07 is: 288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.94 : 356.27 = 209.07 : x
  2. Step 2: Convert to fraction form
    257.94/356.27 = 209.07/x
  3. Step 3: Cross multiply
    257.94x = 356.27 × 209.07
  4. Step 4: Simplify right side
    257.94x = 74,484.32
  5. Step 5: Solve for x
    x = 74,484.32/257.94
  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.