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Finding the Fourth Proportional to 216.36, 324.27 and 135.23

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Solution

The fourth proportional to 216.36, 324.27 and 135.23 is: 202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.36 : 324.27 = 135.23 : x
  2. Step 2: Convert to fraction form
    216.36/324.27 = 135.23/x
  3. Step 3: Cross multiply
    216.36x = 324.27 × 135.23
  4. Step 4: Simplify right side
    216.36x = 43,849.41
  5. Step 5: Solve for x
    x = 43,849.41/216.36
  6. Step 6: Final answer
    x = 202.67

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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.