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Finding the Fourth Proportional to 312.46, 468.38 and 175.37

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Solution

The fourth proportional to 312.46, 468.38 and 175.37 is: 262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.46 : 468.38 = 175.37 : x
  2. Step 2: Convert to fraction form
    312.46/468.38 = 175.37/x
  3. Step 3: Cross multiply
    312.46x = 468.38 × 175.37
  4. Step 4: Simplify right side
    312.46x = 82,137.90
  5. Step 5: Solve for x
    x = 82,137.90/312.46
  6. Step 6: Final answer
    x = 262.88

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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.