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Finding the Fourth Proportional to 215.76, 322.92 and 161.28

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Solution

The fourth proportional to 215.76, 322.92 and 161.28 is: 241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 322.92 = 161.28 : x
  2. Step 2: Convert to fraction form
    215.76/322.92 = 161.28/x
  3. Step 3: Cross multiply
    215.76x = 322.92 × 161.28
  4. Step 4: Simplify right side
    215.76x = 52,080.54
  5. Step 5: Solve for x
    x = 52,080.54/215.76
  6. Step 6: Final answer
    x = 241.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.