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Finding the Fourth Proportional to 312.25, 468.17 and 149.85

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Solution

The fourth proportional to 312.25, 468.17 and 149.85 is: 224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 468.17 = 149.85 : x
  2. Step 2: Convert to fraction form
    312.25/468.17 = 149.85/x
  3. Step 3: Cross multiply
    312.25x = 468.17 × 149.85
  4. Step 4: Simplify right side
    312.25x = 70,152.18
  5. Step 5: Solve for x
    x = 70,152.18/312.25
  6. Step 6: Final answer
    x = 224.67

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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.