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Finding the Fourth Proportional to 420.19, 629.72 and 160.05

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Solution

The fourth proportional to 420.19, 629.72 and 160.05 is: 239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.19 : 629.72 = 160.05 : x
  2. Step 2: Convert to fraction form
    420.19/629.72 = 160.05/x
  3. Step 3: Cross multiply
    420.19x = 629.72 × 160.05
  4. Step 4: Simplify right side
    420.19x = 100,786.69
  5. Step 5: Solve for x
    x = 100,786.69/420.19
  6. Step 6: Final answer
    x = 239.86

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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.