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Finding the Fourth Proportional to 184.37, 277.62 and 133.37

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Solution

The fourth proportional to 184.37, 277.62 and 133.37 is: 200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.37 : 277.62 = 133.37 : x
  2. Step 2: Convert to fraction form
    184.37/277.62 = 133.37/x
  3. Step 3: Cross multiply
    184.37x = 277.62 × 133.37
  4. Step 4: Simplify right side
    184.37x = 37,024.79
  5. Step 5: Solve for x
    x = 37,024.79/184.37
  6. Step 6: Final answer
    x = 200.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.