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Finding the Fourth Proportional to 378.41, 567.11 and 147.07

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Solution

The fourth proportional to 378.41, 567.11 and 147.07 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.41 : 567.11 = 147.07 : x
  2. Step 2: Convert to fraction form
    378.41/567.11 = 147.07/x
  3. Step 3: Cross multiply
    378.41x = 567.11 × 147.07
  4. Step 4: Simplify right side
    378.41x = 83,404.87
  5. Step 5: Solve for x
    x = 83,404.87/378.41
  6. Step 6: Final answer
    x = 220.41

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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.