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Finding the Fourth Proportional to 445.67, 668.46 and 157.11

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Solution

The fourth proportional to 445.67, 668.46 and 157.11 is: 235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.67 : 668.46 = 157.11 : x
  2. Step 2: Convert to fraction form
    445.67/668.46 = 157.11/x
  3. Step 3: Cross multiply
    445.67x = 668.46 × 157.11
  4. Step 4: Simplify right side
    445.67x = 105,021.75
  5. Step 5: Solve for x
    x = 105,021.75/445.67
  6. Step 6: Final answer
    x = 235.65

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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.