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Finding the Fourth Proportional to 276.16, 380.10 and 202.36

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Solution

The fourth proportional to 276.16, 380.10 and 202.36 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.16 : 380.10 = 202.36 : x
  2. Step 2: Convert to fraction form
    276.16/380.10 = 202.36/x
  3. Step 3: Cross multiply
    276.16x = 380.10 × 202.36
  4. Step 4: Simplify right side
    276.16x = 76,917.04
  5. Step 5: Solve for x
    x = 76,917.04/276.16
  6. Step 6: Final answer
    x = 278.52

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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.