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Finding the Fourth Proportional to 178.45, 246.30 and 116.43

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Solution

The fourth proportional to 178.45, 246.30 and 116.43 is: 160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 246.30 = 116.43 : x
  2. Step 2: Convert to fraction form
    178.45/246.30 = 116.43/x
  3. Step 3: Cross multiply
    178.45x = 246.30 × 116.43
  4. Step 4: Simplify right side
    178.45x = 28,676.71
  5. Step 5: Solve for x
    x = 28,676.71/178.45
  6. Step 6: Final answer
    x = 160.70

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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.