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Finding the Fourth Proportional to 216.36, 324.54 and 120.78

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Solution

The fourth proportional to 216.36, 324.54 and 120.78 is: 181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.36 : 324.54 = 120.78 : x
  2. Step 2: Convert to fraction form
    216.36/324.54 = 120.78/x
  3. Step 3: Cross multiply
    216.36x = 324.54 × 120.78
  4. Step 4: Simplify right side
    216.36x = 39,197.94
  5. Step 5: Solve for x
    x = 39,197.94/216.36
  6. Step 6: Final answer
    x = 181.17

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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.