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Finding the Fourth Proportional to 378.47, 567.64 and 121.97

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Solution

The fourth proportional to 378.47, 567.64 and 121.97 is: 182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.47 : 567.64 = 121.97 : x
  2. Step 2: Convert to fraction form
    378.47/567.64 = 121.97/x
  3. Step 3: Cross multiply
    378.47x = 567.64 × 121.97
  4. Step 4: Simplify right side
    378.47x = 69,235.05
  5. Step 5: Solve for x
    x = 69,235.05/378.47
  6. Step 6: Final answer
    x = 182.93

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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.