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Finding the Fourth Proportional to 175.92, 262.36 and 150.41

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Solution

The fourth proportional to 175.92, 262.36 and 150.41 is: 224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.92 : 262.36 = 150.41 : x
  2. Step 2: Convert to fraction form
    175.92/262.36 = 150.41/x
  3. Step 3: Cross multiply
    175.92x = 262.36 × 150.41
  4. Step 4: Simplify right side
    175.92x = 39,459.50
  5. Step 5: Solve for x
    x = 39,459.50/175.92
  6. Step 6: Final answer
    x = 224.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.