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Finding the Fourth Proportional to 258.39, 356.66 and 165.38

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Solution

The fourth proportional to 258.39, 356.66 and 165.38 is: 228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.39 : 356.66 = 165.38 : x
  2. Step 2: Convert to fraction form
    258.39/356.66 = 165.38/x
  3. Step 3: Cross multiply
    258.39x = 356.66 × 165.38
  4. Step 4: Simplify right side
    258.39x = 58,985.45
  5. Step 5: Solve for x
    x = 58,985.45/258.39
  6. Step 6: Final answer
    x = 228.28

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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.