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Finding the Fourth Proportional to 257.45, 355.23 and 170.07

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Solution

The fourth proportional to 257.45, 355.23 and 170.07 is: 234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.45 : 355.23 = 170.07 : x
  2. Step 2: Convert to fraction form
    257.45/355.23 = 170.07/x
  3. Step 3: Cross multiply
    257.45x = 355.23 × 170.07
  4. Step 4: Simplify right side
    257.45x = 60,413.97
  5. Step 5: Solve for x
    x = 60,413.97/257.45
  6. Step 6: Final answer
    x = 234.67

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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.