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Finding the Fourth Proportional to 185.68, 277.38 and 133.88

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Solution

The fourth proportional to 185.68, 277.38 and 133.88 is: 200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.68 : 277.38 = 133.88 : x
  2. Step 2: Convert to fraction form
    185.68/277.38 = 133.88/x
  3. Step 3: Cross multiply
    185.68x = 277.38 × 133.88
  4. Step 4: Simplify right side
    185.68x = 37,135.63
  5. Step 5: Solve for x
    x = 37,135.63/185.68
  6. Step 6: Final answer
    x = 200.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.