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Finding the Fourth Proportional to 276.02, 380.82 and 177.81

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Solution

The fourth proportional to 276.02, 380.82 and 177.81 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.02 : 380.82 = 177.81 : x
  2. Step 2: Convert to fraction form
    276.02/380.82 = 177.81/x
  3. Step 3: Cross multiply
    276.02x = 380.82 × 177.81
  4. Step 4: Simplify right side
    276.02x = 67,713.60
  5. Step 5: Solve for x
    x = 67,713.60/276.02
  6. Step 6: Final answer
    x = 245.32

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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.