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Finding the Fourth Proportional to 378.20, 567.36 and 183.02

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Solution

The fourth proportional to 378.20, 567.36 and 183.02 is: 274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.20 : 567.36 = 183.02 : x
  2. Step 2: Convert to fraction form
    378.20/567.36 = 183.02/x
  3. Step 3: Cross multiply
    378.20x = 567.36 × 183.02
  4. Step 4: Simplify right side
    378.20x = 103,838.23
  5. Step 5: Solve for x
    x = 103,838.23/378.20
  6. Step 6: Final answer
    x = 274.56

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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.