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Finding the Fourth Proportional to 378.15, 567.42 and 224.16

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Solution

The fourth proportional to 378.15, 567.42 and 224.16 is: 336.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.15 : 567.42 = 224.16 : x
  2. Step 2: Convert to fraction form
    378.15/567.42 = 224.16/x
  3. Step 3: Cross multiply
    378.15x = 567.42 × 224.16
  4. Step 4: Simplify right side
    378.15x = 127,192.87
  5. Step 5: Solve for x
    x = 127,192.87/378.15
  6. Step 6: Final answer
    x = 336.36

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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.