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Finding the Fourth Proportional to 150.88, 207.61 and 146.33

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Solution

The fourth proportional to 150.88, 207.61 and 146.33 is: 201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.88 : 207.61 = 146.33 : x
  2. Step 2: Convert to fraction form
    150.88/207.61 = 146.33/x
  3. Step 3: Cross multiply
    150.88x = 207.61 × 146.33
  4. Step 4: Simplify right side
    150.88x = 30,378.17
  5. Step 5: Solve for x
    x = 30,378.17/150.88
  6. Step 6: Final answer
    x = 201.34

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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.