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Finding the Fourth Proportional to 214.12, 295.44 and 126.80

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Solution

The fourth proportional to 214.12, 295.44 and 126.80 is: 174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.12 : 295.44 = 126.80 : x
  2. Step 2: Convert to fraction form
    214.12/295.44 = 126.80/x
  3. Step 3: Cross multiply
    214.12x = 295.44 × 126.80
  4. Step 4: Simplify right side
    214.12x = 37,461.79
  5. Step 5: Solve for x
    x = 37,461.79/214.12
  6. Step 6: Final answer
    x = 174.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.