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Finding the Fourth Proportional to 216.07, 324.33 and 135.12

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Solution

The fourth proportional to 216.07, 324.33 and 135.12 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.07 : 324.33 = 135.12 : x
  2. Step 2: Convert to fraction form
    216.07/324.33 = 135.12/x
  3. Step 3: Cross multiply
    216.07x = 324.33 × 135.12
  4. Step 4: Simplify right side
    216.07x = 43,822.73
  5. Step 5: Solve for x
    x = 43,822.73/216.07
  6. Step 6: Final answer
    x = 202.82

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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.