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Finding the Fourth Proportional to 276.86, 382.58 and 211.24

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Solution

The fourth proportional to 276.86, 382.58 and 211.24 is: 291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.86 : 382.58 = 211.24 : x
  2. Step 2: Convert to fraction form
    276.86/382.58 = 211.24/x
  3. Step 3: Cross multiply
    276.86x = 382.58 × 211.24
  4. Step 4: Simplify right side
    276.86x = 80,816.20
  5. Step 5: Solve for x
    x = 80,816.20/276.86
  6. Step 6: Final answer
    x = 291.90

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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.