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Finding the Fourth Proportional to 420.00, 629.90 and 159.91

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Solution

The fourth proportional to 420.00, 629.90 and 159.91 is: 239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.00 : 629.90 = 159.91 : x
  2. Step 2: Convert to fraction form
    420.00/629.90 = 159.91/x
  3. Step 3: Cross multiply
    420.00x = 629.90 × 159.91
  4. Step 4: Simplify right side
    420.00x = 100,725.53
  5. Step 5: Solve for x
    x = 100,725.53/420.00
  6. Step 6: Final answer
    x = 239.82

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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.