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Finding the Fourth Proportional to 419.98, 629.90 and 160.01

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Solution

The fourth proportional to 419.98, 629.90 and 160.01 is: 239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.98 : 629.90 = 160.01 : x
  2. Step 2: Convert to fraction form
    419.98/629.90 = 160.01/x
  3. Step 3: Cross multiply
    419.98x = 629.90 × 160.01
  4. Step 4: Simplify right side
    419.98x = 100,790.30
  5. Step 5: Solve for x
    x = 100,790.30/419.98
  6. Step 6: Final answer
    x = 239.99

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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.