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Finding the Fourth Proportional to 276.42, 380.88 and 188.94

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Solution

The fourth proportional to 276.42, 380.88 and 188.94 is: 260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 380.88 = 188.94 : x
  2. Step 2: Convert to fraction form
    276.42/380.88 = 188.94/x
  3. Step 3: Cross multiply
    276.42x = 380.88 × 188.94
  4. Step 4: Simplify right side
    276.42x = 71,963.47
  5. Step 5: Solve for x
    x = 71,963.47/276.42
  6. Step 6: Final answer
    x = 260.34

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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.