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Finding the Fourth Proportional to 276.85, 415.18 and 103.51

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Solution

The fourth proportional to 276.85, 415.18 and 103.51 is: 155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.85 : 415.18 = 103.51 : x
  2. Step 2: Convert to fraction form
    276.85/415.18 = 103.51/x
  3. Step 3: Cross multiply
    276.85x = 415.18 × 103.51
  4. Step 4: Simplify right side
    276.85x = 42,975.28
  5. Step 5: Solve for x
    x = 42,975.28/276.85
  6. Step 6: Final answer
    x = 155.23

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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.