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Finding the Fourth Proportional to 216.64, 324.81 and 113.83

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Solution

The fourth proportional to 216.64, 324.81 and 113.83 is: 170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.64 : 324.81 = 113.83 : x
  2. Step 2: Convert to fraction form
    216.64/324.81 = 113.83/x
  3. Step 3: Cross multiply
    216.64x = 324.81 × 113.83
  4. Step 4: Simplify right side
    216.64x = 36,973.12
  5. Step 5: Solve for x
    x = 36,973.12/216.64
  6. Step 6: Final answer
    x = 170.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.