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Finding the Fourth Proportional to 276.86, 415.37 and 103.64

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Solution

The fourth proportional to 276.86, 415.37 and 103.64 is: 155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.86 : 415.37 = 103.64 : x
  2. Step 2: Convert to fraction form
    276.86/415.37 = 103.64/x
  3. Step 3: Cross multiply
    276.86x = 415.37 × 103.64
  4. Step 4: Simplify right side
    276.86x = 43,047.13
  5. Step 5: Solve for x
    x = 43,047.13/276.86
  6. Step 6: Final answer
    x = 155.48

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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.