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Finding the Fourth Proportional to 258.82, 357.31 and 165.65

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Solution

The fourth proportional to 258.82, 357.31 and 165.65 is: 228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.82 : 357.31 = 165.65 : x
  2. Step 2: Convert to fraction form
    258.82/357.31 = 165.65/x
  3. Step 3: Cross multiply
    258.82x = 357.31 × 165.65
  4. Step 4: Simplify right side
    258.82x = 59,186.82
  5. Step 5: Solve for x
    x = 59,186.82/258.82
  6. Step 6: Final answer
    x = 228.68

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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.