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Finding the Fourth Proportional to 150.26, 207.33 and 84.75

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Solution

The fourth proportional to 150.26, 207.33 and 84.75 is: 116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.26 : 207.33 = 84.75 : x
  2. Step 2: Convert to fraction form
    150.26/207.33 = 84.75/x
  3. Step 3: Cross multiply
    150.26x = 207.33 × 84.75
  4. Step 4: Simplify right side
    150.26x = 17,571.22
  5. Step 5: Solve for x
    x = 17,571.22/150.26
  6. Step 6: Final answer
    x = 116.94

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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.