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Finding the Fourth Proportional to 378.46, 567.89 and 196.01

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Solution

The fourth proportional to 378.46, 567.89 and 196.01 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.46 : 567.89 = 196.01 : x
  2. Step 2: Convert to fraction form
    378.46/567.89 = 196.01/x
  3. Step 3: Cross multiply
    378.46x = 567.89 × 196.01
  4. Step 4: Simplify right side
    378.46x = 111,312.12
  5. Step 5: Solve for x
    x = 111,312.12/378.46
  6. Step 6: Final answer
    x = 294.12

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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.