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Finding the Fourth Proportional to 179.40, 270.60 and 176.88

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Solution

The fourth proportional to 179.40, 270.60 and 176.88 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 270.60 = 176.88 : x
  2. Step 2: Convert to fraction form
    179.40/270.60 = 176.88/x
  3. Step 3: Cross multiply
    179.40x = 270.60 × 176.88
  4. Step 4: Simplify right side
    179.40x = 47,863.73
  5. Step 5: Solve for x
    x = 47,863.73/179.40
  6. Step 6: Final answer
    x = 266.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.