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Finding the Fourth Proportional to 216.36, 324.18 and 182.16

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Solution

The fourth proportional to 216.36, 324.18 and 182.16 is: 272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.36 : 324.18 = 182.16 : x
  2. Step 2: Convert to fraction form
    216.36/324.18 = 182.16/x
  3. Step 3: Cross multiply
    216.36x = 324.18 × 182.16
  4. Step 4: Simplify right side
    216.36x = 59,052.63
  5. Step 5: Solve for x
    x = 59,052.63/216.36
  6. Step 6: Final answer
    x = 272.94

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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.