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Finding the Fourth Proportional to 254.81, 380.17 and 247.41

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Solution

The fourth proportional to 254.81, 380.17 and 247.41 is: 369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.81 : 380.17 = 247.41 : x
  2. Step 2: Convert to fraction form
    254.81/380.17 = 247.41/x
  3. Step 3: Cross multiply
    254.81x = 380.17 × 247.41
  4. Step 4: Simplify right side
    254.81x = 94,057.86
  5. Step 5: Solve for x
    x = 94,057.86/254.81
  6. Step 6: Final answer
    x = 369.13

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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.