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Finding the Fourth Proportional to 276.98, 415.46 and 155.24

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Solution

The fourth proportional to 276.98, 415.46 and 155.24 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.98 : 415.46 = 155.24 : x
  2. Step 2: Convert to fraction form
    276.98/415.46 = 155.24/x
  3. Step 3: Cross multiply
    276.98x = 415.46 × 155.24
  4. Step 4: Simplify right side
    276.98x = 64,494.32
  5. Step 5: Solve for x
    x = 64,494.32/276.98
  6. Step 6: Final answer
    x = 232.85

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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.