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Finding the Fourth Proportional to 276.93, 382.08 and 166.38

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Solution

The fourth proportional to 276.93, 382.08 and 166.38 is: 229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.93 : 382.08 = 166.38 : x
  2. Step 2: Convert to fraction form
    276.93/382.08 = 166.38/x
  3. Step 3: Cross multiply
    276.93x = 382.08 × 166.38
  4. Step 4: Simplify right side
    276.93x = 63,570.47
  5. Step 5: Solve for x
    x = 63,570.47/276.93
  6. Step 6: Final answer
    x = 229.55

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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.