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Finding the Fourth Proportional to 150.44, 207.64 and 133.05

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Solution

The fourth proportional to 150.44, 207.64 and 133.05 is: 183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.44 : 207.64 = 133.05 : x
  2. Step 2: Convert to fraction form
    150.44/207.64 = 133.05/x
  3. Step 3: Cross multiply
    150.44x = 207.64 × 133.05
  4. Step 4: Simplify right side
    150.44x = 27,626.50
  5. Step 5: Solve for x
    x = 27,626.50/150.44
  6. Step 6: Final answer
    x = 183.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.