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Finding the Fourth Proportional to 276.63, 381.87 and 183.48

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Solution

The fourth proportional to 276.63, 381.87 and 183.48 is: 253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.63 : 381.87 = 183.48 : x
  2. Step 2: Convert to fraction form
    276.63/381.87 = 183.48/x
  3. Step 3: Cross multiply
    276.63x = 381.87 × 183.48
  4. Step 4: Simplify right side
    276.63x = 70,065.51
  5. Step 5: Solve for x
    x = 70,065.51/276.63
  6. Step 6: Final answer
    x = 253.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.