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Finding the Fourth Proportional to 420.83, 631.34 and 132.27

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Solution

The fourth proportional to 420.83, 631.34 and 132.27 is: 198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.83 : 631.34 = 132.27 : x
  2. Step 2: Convert to fraction form
    420.83/631.34 = 132.27/x
  3. Step 3: Cross multiply
    420.83x = 631.34 × 132.27
  4. Step 4: Simplify right side
    420.83x = 83,505.55
  5. Step 5: Solve for x
    x = 83,505.55/420.83
  6. Step 6: Final answer
    x = 198.43

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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.