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Finding the Fourth Proportional to 258, 356.25 and 203.03

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Solution

The fourth proportional to 258, 356.25 and 203.03 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 356.25 = 203.03 : x
  2. Step 2: Convert to fraction form
    258/356.25 = 203.03/x
  3. Step 3: Cross multiply
    258x = 356.25 × 203.03
  4. Step 4: Simplify right side
    258x = 72,327.66
  5. Step 5: Solve for x
    x = 72,327.66/258
  6. Step 6: Final answer
    x = 280.34

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Why These Related Problems?

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