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Finding the Fourth Proportional to 258.59, 356.73 and 203.33

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Solution

The fourth proportional to 258.59, 356.73 and 203.33 is: 280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.59 : 356.73 = 203.33 : x
  2. Step 2: Convert to fraction form
    258.59/356.73 = 203.33/x
  3. Step 3: Cross multiply
    258.59x = 356.73 × 203.33
  4. Step 4: Simplify right side
    258.59x = 72,533.91
  5. Step 5: Solve for x
    x = 72,533.91/258.59
  6. Step 6: Final answer
    x = 280.50

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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.