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Finding the Fourth Proportional to 216, 323.64 and 135

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Solution

The fourth proportional to 216, 323.64 and 135 is: 202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216 : 323.64 = 135 : x
  2. Step 2: Convert to fraction form
    216/323.64 = 135/x
  3. Step 3: Cross multiply
    216x = 323.64 × 135
  4. Step 4: Simplify right side
    216x = 43,691.40
  5. Step 5: Solve for x
    x = 43,691.40/216
  6. Step 6: Final answer
    x = 202.28

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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.