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Finding the Fourth Proportional to 276.62, 414.66 and 103.16

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Solution

The fourth proportional to 276.62, 414.66 and 103.16 is: 154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.62 : 414.66 = 103.16 : x
  2. Step 2: Convert to fraction form
    276.62/414.66 = 103.16/x
  3. Step 3: Cross multiply
    276.62x = 414.66 × 103.16
  4. Step 4: Simplify right side
    276.62x = 42,776.33
  5. Step 5: Solve for x
    x = 42,776.33/276.62
  6. Step 6: Final answer
    x = 154.64

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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.