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Finding the Fourth Proportional to 382.16, 527.16 and 251.20

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Solution

The fourth proportional to 382.16, 527.16 and 251.20 is: 346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 527.16 = 251.20 : x
  2. Step 2: Convert to fraction form
    382.16/527.16 = 251.20/x
  3. Step 3: Cross multiply
    382.16x = 527.16 × 251.20
  4. Step 4: Simplify right side
    382.16x = 132,422.59
  5. Step 5: Solve for x
    x = 132,422.59/382.16
  6. Step 6: Final answer
    x = 346.51

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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.