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Finding the Fourth Proportional to 150.68, 206.83 and 133.94

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Solution

The fourth proportional to 150.68, 206.83 and 133.94 is: 183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.68 : 206.83 = 133.94 : x
  2. Step 2: Convert to fraction form
    150.68/206.83 = 133.94/x
  3. Step 3: Cross multiply
    150.68x = 206.83 × 133.94
  4. Step 4: Simplify right side
    150.68x = 27,702.81
  5. Step 5: Solve for x
    x = 27,702.81/150.68
  6. Step 6: Final answer
    x = 183.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.