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Finding the Fourth Proportional to 276.51, 414.69 and 84.13

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Solution

The fourth proportional to 276.51, 414.69 and 84.13 is: 126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.51 : 414.69 = 84.13 : x
  2. Step 2: Convert to fraction form
    276.51/414.69 = 84.13/x
  3. Step 3: Cross multiply
    276.51x = 414.69 × 84.13
  4. Step 4: Simplify right side
    276.51x = 34,887.87
  5. Step 5: Solve for x
    x = 34,887.87/276.51
  6. Step 6: Final answer
    x = 126.17

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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.