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Finding the Fourth Proportional to 420.12, 629.96 and 146.12

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Solution

The fourth proportional to 420.12, 629.96 and 146.12 is: 219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 629.96 = 146.12 : x
  2. Step 2: Convert to fraction form
    420.12/629.96 = 146.12/x
  3. Step 3: Cross multiply
    420.12x = 629.96 × 146.12
  4. Step 4: Simplify right side
    420.12x = 92,049.76
  5. Step 5: Solve for x
    x = 92,049.76/420.12
  6. Step 6: Final answer
    x = 219.10

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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.