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Finding the Fourth Proportional to 312.85, 469.37 and 150.49

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Solution

The fourth proportional to 312.85, 469.37 and 150.49 is: 225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.85 : 469.37 = 150.49 : x
  2. Step 2: Convert to fraction form
    312.85/469.37 = 150.49/x
  3. Step 3: Cross multiply
    312.85x = 469.37 × 150.49
  4. Step 4: Simplify right side
    312.85x = 70,635.49
  5. Step 5: Solve for x
    x = 70,635.49/312.85
  6. Step 6: Final answer
    x = 225.78

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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.