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Finding the Fourth Proportional to 276.18, 414.51 and 180.06

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Solution

The fourth proportional to 276.18, 414.51 and 180.06 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.18 : 414.51 = 180.06 : x
  2. Step 2: Convert to fraction form
    276.18/414.51 = 180.06/x
  3. Step 3: Cross multiply
    276.18x = 414.51 × 180.06
  4. Step 4: Simplify right side
    276.18x = 74,636.67
  5. Step 5: Solve for x
    x = 74,636.67/276.18
  6. Step 6: Final answer
    x = 270.25

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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.