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Finding the Fourth Proportional to 422.51, 633.70 and 114.33

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Solution

The fourth proportional to 422.51, 633.70 and 114.33 is: 171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.51 : 633.70 = 114.33 : x
  2. Step 2: Convert to fraction form
    422.51/633.70 = 114.33/x
  3. Step 3: Cross multiply
    422.51x = 633.70 × 114.33
  4. Step 4: Simplify right side
    422.51x = 72,447.18
  5. Step 5: Solve for x
    x = 72,447.18/422.51
  6. Step 6: Final answer
    x = 171.47

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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.