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Finding the Fourth Proportional to 378.25, 567.50 and 121.75

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Solution

The fourth proportional to 378.25, 567.50 and 121.75 is: 182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.25 : 567.50 = 121.75 : x
  2. Step 2: Convert to fraction form
    378.25/567.50 = 121.75/x
  3. Step 3: Cross multiply
    378.25x = 567.50 × 121.75
  4. Step 4: Simplify right side
    378.25x = 69,092.52
  5. Step 5: Solve for x
    x = 69,092.52/378.25
  6. Step 6: Final answer
    x = 182.66

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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.