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Finding the Fourth Proportional to 420.42, 630.66 and 131.87

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Solution

The fourth proportional to 420.42, 630.66 and 131.87 is: 197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.42 : 630.66 = 131.87 : x
  2. Step 2: Convert to fraction form
    420.42/630.66 = 131.87/x
  3. Step 3: Cross multiply
    420.42x = 630.66 × 131.87
  4. Step 4: Simplify right side
    420.42x = 83,161.98
  5. Step 5: Solve for x
    x = 83,161.98/420.42
  6. Step 6: Final answer
    x = 197.81

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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.