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Finding the Fourth Proportional to 215.49, 323.36 and 133.33

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Solution

The fourth proportional to 215.49, 323.36 and 133.33 is: 200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.49 : 323.36 = 133.33 : x
  2. Step 2: Convert to fraction form
    215.49/323.36 = 133.33/x
  3. Step 3: Cross multiply
    215.49x = 323.36 × 133.33
  4. Step 4: Simplify right side
    215.49x = 43,113.26
  5. Step 5: Solve for x
    x = 43,113.26/215.49
  6. Step 6: Final answer
    x = 200.08

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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.