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Finding the Fourth Proportional to 378.75, 567.66 and 205.50

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Solution

The fourth proportional to 378.75, 567.66 and 205.50 is: 308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.75 : 567.66 = 205.50 : x
  2. Step 2: Convert to fraction form
    378.75/567.66 = 205.50/x
  3. Step 3: Cross multiply
    378.75x = 567.66 × 205.50
  4. Step 4: Simplify right side
    378.75x = 116,654.13
  5. Step 5: Solve for x
    x = 116,654.13/378.75
  6. Step 6: Final answer
    x = 308.00

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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.