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Finding the Fourth Proportional to 276.18, 412.56 and 245.94

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Solution

The fourth proportional to 276.18, 412.56 and 245.94 is: 367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.18 : 412.56 = 245.94 : x
  2. Step 2: Convert to fraction form
    276.18/412.56 = 245.94/x
  3. Step 3: Cross multiply
    276.18x = 412.56 × 245.94
  4. Step 4: Simplify right side
    276.18x = 101,465.01
  5. Step 5: Solve for x
    x = 101,465.01/276.18
  6. Step 6: Final answer
    x = 367.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.