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Finding the Fourth Proportional to 420.22, 630.43 and 146.27

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Solution

The fourth proportional to 420.22, 630.43 and 146.27 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.22 : 630.43 = 146.27 : x
  2. Step 2: Convert to fraction form
    420.22/630.43 = 146.27/x
  3. Step 3: Cross multiply
    420.22x = 630.43 × 146.27
  4. Step 4: Simplify right side
    420.22x = 92,209.11
  5. Step 5: Solve for x
    x = 92,209.11/420.22
  6. Step 6: Final answer
    x = 219.43

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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.