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Finding the Fourth Proportional to 178.42, 246.20 and 116.26

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Solution

The fourth proportional to 178.42, 246.20 and 116.26 is: 160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.42 : 246.20 = 116.26 : x
  2. Step 2: Convert to fraction form
    178.42/246.20 = 116.26/x
  3. Step 3: Cross multiply
    178.42x = 246.20 × 116.26
  4. Step 4: Simplify right side
    178.42x = 28,623.53
  5. Step 5: Solve for x
    x = 28,623.53/178.42
  6. Step 6: Final answer
    x = 160.43

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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.