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Finding the Fourth Proportional to 276.45, 414.39 and 103.01

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Solution

The fourth proportional to 276.45, 414.39 and 103.01 is: 154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.45 : 414.39 = 103.01 : x
  2. Step 2: Convert to fraction form
    276.45/414.39 = 103.01/x
  3. Step 3: Cross multiply
    276.45x = 414.39 × 103.01
  4. Step 4: Simplify right side
    276.45x = 42,686.31
  5. Step 5: Solve for x
    x = 42,686.31/276.45
  6. Step 6: Final answer
    x = 154.41

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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.