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Finding the Fourth Proportional to 216.80, 324.72 and 108.48

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Solution

The fourth proportional to 216.80, 324.72 and 108.48 is: 162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.80 : 324.72 = 108.48 : x
  2. Step 2: Convert to fraction form
    216.80/324.72 = 108.48/x
  3. Step 3: Cross multiply
    216.80x = 324.72 × 108.48
  4. Step 4: Simplify right side
    216.80x = 35,225.63
  5. Step 5: Solve for x
    x = 35,225.63/216.80
  6. Step 6: Final answer
    x = 162.48

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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.