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Finding the Fourth Proportional to 276.72, 415.14 and 94.13

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Solution

The fourth proportional to 276.72, 415.14 and 94.13 is: 141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.72 : 415.14 = 94.13 : x
  2. Step 2: Convert to fraction form
    276.72/415.14 = 94.13/x
  3. Step 3: Cross multiply
    276.72x = 415.14 × 94.13
  4. Step 4: Simplify right side
    276.72x = 39,075.05
  5. Step 5: Solve for x
    x = 39,075.05/276.72
  6. Step 6: Final answer
    x = 141.21

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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.