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Finding the Fourth Proportional to 216, 324 and 189.12

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Solution

The fourth proportional to 216, 324 and 189.12 is: 283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216 : 324 = 189.12 : x
  2. Step 2: Convert to fraction form
    216/324 = 189.12/x
  3. Step 3: Cross multiply
    216x = 324 × 189.12
  4. Step 4: Simplify right side
    216x = 61,274.88
  5. Step 5: Solve for x
    x = 61,274.88/216
  6. Step 6: Final answer
    x = 283.68

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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.