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Finding the Fourth Proportional to 178.80, 246.78 and 116.64

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Solution

The fourth proportional to 178.80, 246.78 and 116.64 is: 160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.80 : 246.78 = 116.64 : x
  2. Step 2: Convert to fraction form
    178.80/246.78 = 116.64/x
  3. Step 3: Cross multiply
    178.80x = 246.78 × 116.64
  4. Step 4: Simplify right side
    178.80x = 28,784.42
  5. Step 5: Solve for x
    x = 28,784.42/178.80
  6. Step 6: Final answer
    x = 160.99

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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.