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Finding the Fourth Proportional to 150.33, 225.96 and 146.88

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Solution

The fourth proportional to 150.33, 225.96 and 146.88 is: 220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.33 : 225.96 = 146.88 : x
  2. Step 2: Convert to fraction form
    150.33/225.96 = 146.88/x
  3. Step 3: Cross multiply
    150.33x = 225.96 × 146.88
  4. Step 4: Simplify right side
    150.33x = 33,189.00
  5. Step 5: Solve for x
    x = 33,189.00/150.33
  6. Step 6: Final answer
    x = 220.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.