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Finding the Fourth Proportional to 378.14, 567.12 and 183.02

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Solution

The fourth proportional to 378.14, 567.12 and 183.02 is: 274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.14 : 567.12 = 183.02 : x
  2. Step 2: Convert to fraction form
    378.14/567.12 = 183.02/x
  3. Step 3: Cross multiply
    378.14x = 567.12 × 183.02
  4. Step 4: Simplify right side
    378.14x = 103,794.30
  5. Step 5: Solve for x
    x = 103,794.30/378.14
  6. Step 6: Final answer
    x = 274.49

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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.