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Finding the Fourth Proportional to 323.06, 445.82 and 175.69

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Solution

The fourth proportional to 323.06, 445.82 and 175.69 is: 242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.06 : 445.82 = 175.69 : x
  2. Step 2: Convert to fraction form
    323.06/445.82 = 175.69/x
  3. Step 3: Cross multiply
    323.06x = 445.82 × 175.69
  4. Step 4: Simplify right side
    323.06x = 78,325.24
  5. Step 5: Solve for x
    x = 78,325.24/323.06
  6. Step 6: Final answer
    x = 242.45

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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.