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Finding the Fourth Proportional to 420.12, 630.30 and 131.56

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Solution

The fourth proportional to 420.12, 630.30 and 131.56 is: 197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 630.30 = 131.56 : x
  2. Step 2: Convert to fraction form
    420.12/630.30 = 131.56/x
  3. Step 3: Cross multiply
    420.12x = 630.30 × 131.56
  4. Step 4: Simplify right side
    420.12x = 82,922.27
  5. Step 5: Solve for x
    x = 82,922.27/420.12
  6. Step 6: Final answer
    x = 197.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.