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Finding the Fourth Proportional to 276.36, 414.42 and 103.02

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Solution

The fourth proportional to 276.36, 414.42 and 103.02 is: 154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.36 : 414.42 = 103.02 : x
  2. Step 2: Convert to fraction form
    276.36/414.42 = 103.02/x
  3. Step 3: Cross multiply
    276.36x = 414.42 × 103.02
  4. Step 4: Simplify right side
    276.36x = 42,693.55
  5. Step 5: Solve for x
    x = 42,693.55/276.36
  6. Step 6: Final answer
    x = 154.49

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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.