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Finding the Fourth Proportional to 276.76, 381.70 and 166.16

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Solution

The fourth proportional to 276.76, 381.70 and 166.16 is: 229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.76 : 381.70 = 166.16 : x
  2. Step 2: Convert to fraction form
    276.76/381.70 = 166.16/x
  3. Step 3: Cross multiply
    276.76x = 381.70 × 166.16
  4. Step 4: Simplify right side
    276.76x = 63,423.16
  5. Step 5: Solve for x
    x = 63,423.16/276.76
  6. Step 6: Final answer
    x = 229.16

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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.