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Finding the Fourth Proportional to 276.78, 415.34 and 155.08

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Solution

The fourth proportional to 276.78, 415.34 and 155.08 is: 232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.78 : 415.34 = 155.08 : x
  2. Step 2: Convert to fraction form
    276.78/415.34 = 155.08/x
  3. Step 3: Cross multiply
    276.78x = 415.34 × 155.08
  4. Step 4: Simplify right side
    276.78x = 64,408.08
  5. Step 5: Solve for x
    x = 64,408.08/276.78
  6. Step 6: Final answer
    x = 232.70

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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.