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Finding the Fourth Proportional to 184.87, 276.70 and 178.39

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Solution

The fourth proportional to 184.87, 276.70 and 178.39 is: 267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.87 : 276.70 = 178.39 : x
  2. Step 2: Convert to fraction form
    184.87/276.70 = 178.39/x
  3. Step 3: Cross multiply
    184.87x = 276.70 × 178.39
  4. Step 4: Simplify right side
    184.87x = 49,359.62
  5. Step 5: Solve for x
    x = 49,359.62/184.87
  6. Step 6: Final answer
    x = 267.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.