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Finding the Fourth Proportional to 276.81, 382 and 152.47

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Solution

The fourth proportional to 276.81, 382 and 152.47 is: 210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.81 : 382 = 152.47 : x
  2. Step 2: Convert to fraction form
    276.81/382 = 152.47/x
  3. Step 3: Cross multiply
    276.81x = 382 × 152.47
  4. Step 4: Simplify right side
    276.81x = 58,243.54
  5. Step 5: Solve for x
    x = 58,243.54/276.81
  6. Step 6: Final answer
    x = 210.41

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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.