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Finding the Fourth Proportional to 276.21, 414.08 and 102.77

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Solution

The fourth proportional to 276.21, 414.08 and 102.77 is: 154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.21 : 414.08 = 102.77 : x
  2. Step 2: Convert to fraction form
    276.21/414.08 = 102.77/x
  3. Step 3: Cross multiply
    276.21x = 414.08 × 102.77
  4. Step 4: Simplify right side
    276.21x = 42,555.52
  5. Step 5: Solve for x
    x = 42,555.52/276.21
  6. Step 6: Final answer
    x = 154.07

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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.