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Finding the Fourth Proportional to 276.68, 415.02 and 184.08

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Solution

The fourth proportional to 276.68, 415.02 and 184.08 is: 276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.68 : 415.02 = 184.08 : x
  2. Step 2: Convert to fraction form
    276.68/415.02 = 184.08/x
  3. Step 3: Cross multiply
    276.68x = 415.02 × 184.08
  4. Step 4: Simplify right side
    276.68x = 76,396.88
  5. Step 5: Solve for x
    x = 76,396.88/276.68
  6. Step 6: Final answer
    x = 276.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.