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Finding the Fourth Proportional to 150.63, 225.77 and 82.19

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Solution

The fourth proportional to 150.63, 225.77 and 82.19 is: 123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.63 : 225.77 = 82.19 : x
  2. Step 2: Convert to fraction form
    150.63/225.77 = 82.19/x
  3. Step 3: Cross multiply
    150.63x = 225.77 × 82.19
  4. Step 4: Simplify right side
    150.63x = 18,554.50
  5. Step 5: Solve for x
    x = 18,554.50/150.63
  6. Step 6: Final answer
    x = 123.18

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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.