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Finding the Fourth Proportional to 378.16, 567.12 and 134.64

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Solution

The fourth proportional to 378.16, 567.12 and 134.64 is: 201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.16 : 567.12 = 134.64 : x
  2. Step 2: Convert to fraction form
    378.16/567.12 = 134.64/x
  3. Step 3: Cross multiply
    378.16x = 567.12 × 134.64
  4. Step 4: Simplify right side
    378.16x = 76,357.04
  5. Step 5: Solve for x
    x = 76,357.04/378.16
  6. Step 6: Final answer
    x = 201.92

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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.