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Finding the Fourth Proportional to 143.46, 214.56 and 129.78

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Solution

The fourth proportional to 143.46, 214.56 and 129.78 is: 194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.46 : 214.56 = 129.78 : x
  2. Step 2: Convert to fraction form
    143.46/214.56 = 129.78/x
  3. Step 3: Cross multiply
    143.46x = 214.56 × 129.78
  4. Step 4: Simplify right side
    143.46x = 27,845.60
  5. Step 5: Solve for x
    x = 27,845.60/143.46
  6. Step 6: Final answer
    x = 194.10

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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.