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Finding the Fourth Proportional to 378.73, 567.73 and 147.76

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Solution

The fourth proportional to 378.73, 567.73 and 147.76 is: 221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.73 : 567.73 = 147.76 : x
  2. Step 2: Convert to fraction form
    378.73/567.73 = 147.76/x
  3. Step 3: Cross multiply
    378.73x = 567.73 × 147.76
  4. Step 4: Simplify right side
    378.73x = 83,885.72
  5. Step 5: Solve for x
    x = 83,885.72/378.73
  6. Step 6: Final answer
    x = 221.49

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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.