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Finding the Fourth Proportional to 378.72, 567.64 and 196.02

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Solution

The fourth proportional to 378.72, 567.64 and 196.02 is: 293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.72 : 567.64 = 196.02 : x
  2. Step 2: Convert to fraction form
    378.72/567.64 = 196.02/x
  3. Step 3: Cross multiply
    378.72x = 567.64 × 196.02
  4. Step 4: Simplify right side
    378.72x = 111,268.79
  5. Step 5: Solve for x
    x = 111,268.79/378.72
  6. Step 6: Final answer
    x = 293.80

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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.