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Finding the Fourth Proportional to 215.96, 323.48 and 162.32

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Solution

The fourth proportional to 215.96, 323.48 and 162.32 is: 243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.96 : 323.48 = 162.32 : x
  2. Step 2: Convert to fraction form
    215.96/323.48 = 162.32/x
  3. Step 3: Cross multiply
    215.96x = 323.48 × 162.32
  4. Step 4: Simplify right side
    215.96x = 52,507.27
  5. Step 5: Solve for x
    x = 52,507.27/215.96
  6. Step 6: Final answer
    x = 243.13

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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.