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Finding the Fourth Proportional to 276.47, 414.26 and 146.46

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Solution

The fourth proportional to 276.47, 414.26 and 146.46 is: 219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.47 : 414.26 = 146.46 : x
  2. Step 2: Convert to fraction form
    276.47/414.26 = 146.46/x
  3. Step 3: Cross multiply
    276.47x = 414.26 × 146.46
  4. Step 4: Simplify right side
    276.47x = 60,671.79
  5. Step 5: Solve for x
    x = 60,671.79/276.47
  6. Step 6: Final answer
    x = 219.46

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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.