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Finding the Fourth Proportional to 276.25, 414.16 and 146.08

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Solution

The fourth proportional to 276.25, 414.16 and 146.08 is: 219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.25 : 414.16 = 146.08 : x
  2. Step 2: Convert to fraction form
    276.25/414.16 = 146.08/x
  3. Step 3: Cross multiply
    276.25x = 414.16 × 146.08
  4. Step 4: Simplify right side
    276.25x = 60,500.49
  5. Step 5: Solve for x
    x = 60,500.49/276.25
  6. Step 6: Final answer
    x = 219.01

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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.