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Finding the Fourth Proportional to 258.81, 357.23 and 165.49

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Solution

The fourth proportional to 258.81, 357.23 and 165.49 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.81 : 357.23 = 165.49 : x
  2. Step 2: Convert to fraction form
    258.81/357.23 = 165.49/x
  3. Step 3: Cross multiply
    258.81x = 357.23 × 165.49
  4. Step 4: Simplify right side
    258.81x = 59,117.99
  5. Step 5: Solve for x
    x = 59,117.99/258.81
  6. Step 6: Final answer
    x = 228.42

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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.