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Finding the Fourth Proportional to 178.68, 246.48 and 116.50

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Solution

The fourth proportional to 178.68, 246.48 and 116.50 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.68 : 246.48 = 116.50 : x
  2. Step 2: Convert to fraction form
    178.68/246.48 = 116.50/x
  3. Step 3: Cross multiply
    178.68x = 246.48 × 116.50
  4. Step 4: Simplify right side
    178.68x = 28,714.92
  5. Step 5: Solve for x
    x = 28,714.92/178.68
  6. Step 6: Final answer
    x = 160.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.