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Finding the Fourth Proportional to 445.89, 668.94 and 153.38

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Solution

The fourth proportional to 445.89, 668.94 and 153.38 is: 230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.89 : 668.94 = 153.38 : x
  2. Step 2: Convert to fraction form
    445.89/668.94 = 153.38/x
  3. Step 3: Cross multiply
    445.89x = 668.94 × 153.38
  4. Step 4: Simplify right side
    445.89x = 102,601.25
  5. Step 5: Solve for x
    x = 102,601.25/445.89
  6. Step 6: Final answer
    x = 230.10

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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.