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Finding the Fourth Proportional to 216.69, 325.10 and 119.16

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Solution

The fourth proportional to 216.69, 325.10 and 119.16 is: 178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.69 : 325.10 = 119.16 : x
  2. Step 2: Convert to fraction form
    216.69/325.10 = 119.16/x
  3. Step 3: Cross multiply
    216.69x = 325.10 × 119.16
  4. Step 4: Simplify right side
    216.69x = 38,738.32
  5. Step 5: Solve for x
    x = 38,738.32/216.69
  6. Step 6: Final answer
    x = 178.77

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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.