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Finding the Fourth Proportional to 378.51, 567.93 and 205.30

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Solution

The fourth proportional to 378.51, 567.93 and 205.30 is: 308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.51 : 567.93 = 205.30 : x
  2. Step 2: Convert to fraction form
    378.51/567.93 = 205.30/x
  3. Step 3: Cross multiply
    378.51x = 567.93 × 205.30
  4. Step 4: Simplify right side
    378.51x = 116,596.03
  5. Step 5: Solve for x
    x = 116,596.03/378.51
  6. Step 6: Final answer
    x = 308.04

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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.