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Finding the Fourth Proportional to 378.92, 567.72 and 242.12

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Solution

The fourth proportional to 378.92, 567.72 and 242.12 is: 362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.92 : 567.72 = 242.12 : x
  2. Step 2: Convert to fraction form
    378.92/567.72 = 242.12/x
  3. Step 3: Cross multiply
    378.92x = 567.72 × 242.12
  4. Step 4: Simplify right side
    378.92x = 137,456.37
  5. Step 5: Solve for x
    x = 137,456.37/378.92
  6. Step 6: Final answer
    x = 362.76

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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.