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Finding the Fourth Proportional to 143.40, 197.46 and 129

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Solution

The fourth proportional to 143.40, 197.46 and 129 is: 177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.40 : 197.46 = 129 : x
  2. Step 2: Convert to fraction form
    143.40/197.46 = 129/x
  3. Step 3: Cross multiply
    143.40x = 197.46 × 129
  4. Step 4: Simplify right side
    143.40x = 25,472.34
  5. Step 5: Solve for x
    x = 25,472.34/143.40
  6. Step 6: Final answer
    x = 177.63

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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.