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Finding the Fourth Proportional to 258.52, 356.91 and 165.30

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Solution

The fourth proportional to 258.52, 356.91 and 165.30 is: 228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.52 : 356.91 = 165.30 : x
  2. Step 2: Convert to fraction form
    258.52/356.91 = 165.30/x
  3. Step 3: Cross multiply
    258.52x = 356.91 × 165.30
  4. Step 4: Simplify right side
    258.52x = 58,996.33
  5. Step 5: Solve for x
    x = 58,996.33/258.52
  6. Step 6: Final answer
    x = 228.21

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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.