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Finding the Fourth Proportional to 276.69, 382.56 and 242.10

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Solution

The fourth proportional to 276.69, 382.56 and 242.10 is: 334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.69 : 382.56 = 242.10 : x
  2. Step 2: Convert to fraction form
    276.69/382.56 = 242.10/x
  3. Step 3: Cross multiply
    276.69x = 382.56 × 242.10
  4. Step 4: Simplify right side
    276.69x = 92,617.78
  5. Step 5: Solve for x
    x = 92,617.78/276.69
  6. Step 6: Final answer
    x = 334.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.