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Finding the Fourth Proportional to 175.82, 262.23 and 150.30

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Solution

The fourth proportional to 175.82, 262.23 and 150.30 is: 224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.82 : 262.23 = 150.30 : x
  2. Step 2: Convert to fraction form
    175.82/262.23 = 150.30/x
  3. Step 3: Cross multiply
    175.82x = 262.23 × 150.30
  4. Step 4: Simplify right side
    175.82x = 39,413.17
  5. Step 5: Solve for x
    x = 39,413.17/175.82
  6. Step 6: Final answer
    x = 224.17

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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.