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Finding the Fourth Proportional to 378.56, 567.76 and 196.08

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Solution

The fourth proportional to 378.56, 567.76 and 196.08 is: 294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.56 : 567.76 = 196.08 : x
  2. Step 2: Convert to fraction form
    378.56/567.76 = 196.08/x
  3. Step 3: Cross multiply
    378.56x = 567.76 × 196.08
  4. Step 4: Simplify right side
    378.56x = 111,326.38
  5. Step 5: Solve for x
    x = 111,326.38/378.56
  6. Step 6: Final answer
    x = 294.08

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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.