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Finding the Fourth Proportional to 258.68, 356.92 and 165.38

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Solution

The fourth proportional to 258.68, 356.92 and 165.38 is: 228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.68 : 356.92 = 165.38 : x
  2. Step 2: Convert to fraction form
    258.68/356.92 = 165.38/x
  3. Step 3: Cross multiply
    258.68x = 356.92 × 165.38
  4. Step 4: Simplify right side
    258.68x = 59,027.91
  5. Step 5: Solve for x
    x = 59,027.91/258.68
  6. Step 6: Final answer
    x = 228.19

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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.