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Finding the Fourth Proportional to 224.85, 309.91 and 169.50

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Solution

The fourth proportional to 224.85, 309.91 and 169.50 is: 233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.85 : 309.91 = 169.50 : x
  2. Step 2: Convert to fraction form
    224.85/309.91 = 169.50/x
  3. Step 3: Cross multiply
    224.85x = 309.91 × 169.50
  4. Step 4: Simplify right side
    224.85x = 52,529.75
  5. Step 5: Solve for x
    x = 52,529.75/224.85
  6. Step 6: Final answer
    x = 233.62

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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.