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Finding the Fourth Proportional to 276.66, 415.02 and 167.07

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Solution

The fourth proportional to 276.66, 415.02 and 167.07 is: 250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.66 : 415.02 = 167.07 : x
  2. Step 2: Convert to fraction form
    276.66/415.02 = 167.07/x
  3. Step 3: Cross multiply
    276.66x = 415.02 × 167.07
  4. Step 4: Simplify right side
    276.66x = 69,337.39
  5. Step 5: Solve for x
    x = 69,337.39/276.66
  6. Step 6: Final answer
    x = 250.62

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