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Finding the Fourth Proportional to 178.41, 245.82 and 129.20

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Solution

The fourth proportional to 178.41, 245.82 and 129.20 is: 178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.41 : 245.82 = 129.20 : x
  2. Step 2: Convert to fraction form
    178.41/245.82 = 129.20/x
  3. Step 3: Cross multiply
    178.41x = 245.82 × 129.20
  4. Step 4: Simplify right side
    178.41x = 31,759.94
  5. Step 5: Solve for x
    x = 31,759.94/178.41
  6. Step 6: Final answer
    x = 178.02

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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.