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Finding the Fourth Proportional to 178.61, 246.41 and 116.49

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Solution

The fourth proportional to 178.61, 246.41 and 116.49 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.61 : 246.41 = 116.49 : x
  2. Step 2: Convert to fraction form
    178.61/246.41 = 116.49/x
  3. Step 3: Cross multiply
    178.61x = 246.41 × 116.49
  4. Step 4: Simplify right side
    178.61x = 28,703.72
  5. Step 5: Solve for x
    x = 28,703.72/178.61
  6. Step 6: Final answer
    x = 160.71

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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.