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Finding the Fourth Proportional to 254.72, 381 and 214.76

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Solution

The fourth proportional to 254.72, 381 and 214.76 is: 321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.72 : 381 = 214.76 : x
  2. Step 2: Convert to fraction form
    254.72/381 = 214.76/x
  3. Step 3: Cross multiply
    254.72x = 381 × 214.76
  4. Step 4: Simplify right side
    254.72x = 81,823.56
  5. Step 5: Solve for x
    x = 81,823.56/254.72
  6. Step 6: Final answer
    x = 321.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.