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Finding the Fourth Proportional to 216.03, 323.80 and 183.43

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Solution

The fourth proportional to 216.03, 323.80 and 183.43 is: 274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.03 : 323.80 = 183.43 : x
  2. Step 2: Convert to fraction form
    216.03/323.80 = 183.43/x
  3. Step 3: Cross multiply
    216.03x = 323.80 × 183.43
  4. Step 4: Simplify right side
    216.03x = 59,394.58
  5. Step 5: Solve for x
    x = 59,394.58/216.03
  6. Step 6: Final answer
    x = 274.93

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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.