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Finding the Fourth Proportional to 259.52, 357.95 and 161.33

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Solution

The fourth proportional to 259.52, 357.95 and 161.33 is: 222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.52 : 357.95 = 161.33 : x
  2. Step 2: Convert to fraction form
    259.52/357.95 = 161.33/x
  3. Step 3: Cross multiply
    259.52x = 357.95 × 161.33
  4. Step 4: Simplify right side
    259.52x = 57,745.48
  5. Step 5: Solve for x
    x = 57,745.48/259.52
  6. Step 6: Final answer
    x = 222.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.