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Finding the Fourth Proportional to 216.65, 325.59 and 144.96

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Solution

The fourth proportional to 216.65, 325.59 and 144.96 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.65 : 325.59 = 144.96 : x
  2. Step 2: Convert to fraction form
    216.65/325.59 = 144.96/x
  3. Step 3: Cross multiply
    216.65x = 325.59 × 144.96
  4. Step 4: Simplify right side
    216.65x = 47,197.53
  5. Step 5: Solve for x
    x = 47,197.53/216.65
  6. Step 6: Final answer
    x = 217.85

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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.