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Finding the Fourth Proportional to 178.70, 246.57 and 128.97

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Solution

The fourth proportional to 178.70, 246.57 and 128.97 is: 177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.70 : 246.57 = 128.97 : x
  2. Step 2: Convert to fraction form
    178.70/246.57 = 128.97/x
  3. Step 3: Cross multiply
    178.70x = 246.57 × 128.97
  4. Step 4: Simplify right side
    178.70x = 31,800.13
  5. Step 5: Solve for x
    x = 31,800.13/178.70
  6. Step 6: Final answer
    x = 177.96

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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.