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Finding the Fourth Proportional to 216.96, 324.80 and 130.88

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Solution

The fourth proportional to 216.96, 324.80 and 130.88 is: 195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.96 : 324.80 = 130.88 : x
  2. Step 2: Convert to fraction form
    216.96/324.80 = 130.88/x
  3. Step 3: Cross multiply
    216.96x = 324.80 × 130.88
  4. Step 4: Simplify right side
    216.96x = 42,509.82
  5. Step 5: Solve for x
    x = 42,509.82/216.96
  6. Step 6: Final answer
    x = 195.93

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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.