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Finding the Fourth Proportional to 185.36, 276.95 and 178.88

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Solution

The fourth proportional to 185.36, 276.95 and 178.88 is: 267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.36 : 276.95 = 178.88 : x
  2. Step 2: Convert to fraction form
    185.36/276.95 = 178.88/x
  3. Step 3: Cross multiply
    185.36x = 276.95 × 178.88
  4. Step 4: Simplify right side
    185.36x = 49,539.88
  5. Step 5: Solve for x
    x = 49,539.88/185.36
  6. Step 6: Final answer
    x = 267.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.