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Finding the Fourth Proportional to 378.47, 567.62 and 193.18

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Solution

The fourth proportional to 378.47, 567.62 and 193.18 is: 289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.47 : 567.62 = 193.18 : x
  2. Step 2: Convert to fraction form
    378.47/567.62 = 193.18/x
  3. Step 3: Cross multiply
    378.47x = 567.62 × 193.18
  4. Step 4: Simplify right side
    378.47x = 109,652.83
  5. Step 5: Solve for x
    x = 109,652.83/378.47
  6. Step 6: Final answer
    x = 289.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.