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Finding the Fourth Proportional to 380.52, 525.12 and 205.87

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Solution

The fourth proportional to 380.52, 525.12 and 205.87 is: 284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 525.12 = 205.87 : x
  2. Step 2: Convert to fraction form
    380.52/525.12 = 205.87/x
  3. Step 3: Cross multiply
    380.52x = 525.12 × 205.87
  4. Step 4: Simplify right side
    380.52x = 108,105.04
  5. Step 5: Solve for x
    x = 108,105.04/380.52
  6. Step 6: Final answer
    x = 284.10

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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.