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Finding the Fourth Proportional to 185.49, 276.57 and 178.65

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Solution

The fourth proportional to 185.49, 276.57 and 178.65 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.49 : 276.57 = 178.65 : x
  2. Step 2: Convert to fraction form
    185.49/276.57 = 178.65/x
  3. Step 3: Cross multiply
    185.49x = 276.57 × 178.65
  4. Step 4: Simplify right side
    185.49x = 49,409.23
  5. Step 5: Solve for x
    x = 49,409.23/185.49
  6. Step 6: Final answer
    x = 266.37

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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.