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Finding the Fourth Proportional to 258.49, 356.77 and 165.22

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Solution

The fourth proportional to 258.49, 356.77 and 165.22 is: 228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.49 : 356.77 = 165.22 : x
  2. Step 2: Convert to fraction form
    258.49/356.77 = 165.22/x
  3. Step 3: Cross multiply
    258.49x = 356.77 × 165.22
  4. Step 4: Simplify right side
    258.49x = 58,943.92
  5. Step 5: Solve for x
    x = 58,943.92/258.49
  6. Step 6: Final answer
    x = 228.04

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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.