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Finding the Fourth Proportional to 276.81, 382.16 and 183.68

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Solution

The fourth proportional to 276.81, 382.16 and 183.68 is: 253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.81 : 382.16 = 183.68 : x
  2. Step 2: Convert to fraction form
    276.81/382.16 = 183.68/x
  3. Step 3: Cross multiply
    276.81x = 382.16 × 183.68
  4. Step 4: Simplify right side
    276.81x = 70,194.47
  5. Step 5: Solve for x
    x = 70,194.47/276.81
  6. Step 6: Final answer
    x = 253.59

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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.