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Finding the Fourth Proportional to 422.88, 634.35 and 148.98

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Solution

The fourth proportional to 422.88, 634.35 and 148.98 is: 223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 634.35 = 148.98 : x
  2. Step 2: Convert to fraction form
    422.88/634.35 = 148.98/x
  3. Step 3: Cross multiply
    422.88x = 634.35 × 148.98
  4. Step 4: Simplify right side
    422.88x = 94,505.46
  5. Step 5: Solve for x
    x = 94,505.46/422.88
  6. Step 6: Final answer
    x = 223.48

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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.