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Finding the Fourth Proportional to 422.81, 634.31 and 148.91

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Solution

The fourth proportional to 422.81, 634.31 and 148.91 is: 223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.81 : 634.31 = 148.91 : x
  2. Step 2: Convert to fraction form
    422.81/634.31 = 148.91/x
  3. Step 3: Cross multiply
    422.81x = 634.31 × 148.91
  4. Step 4: Simplify right side
    422.81x = 94,455.10
  5. Step 5: Solve for x
    x = 94,455.10/422.81
  6. Step 6: Final answer
    x = 223.40

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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.