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Finding the Fourth Proportional to 378.13, 567.20 and 183.09

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Solution

The fourth proportional to 378.13, 567.20 and 183.09 is: 274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.13 : 567.20 = 183.09 : x
  2. Step 2: Convert to fraction form
    378.13/567.20 = 183.09/x
  3. Step 3: Cross multiply
    378.13x = 567.20 × 183.09
  4. Step 4: Simplify right side
    378.13x = 103,848.65
  5. Step 5: Solve for x
    x = 103,848.65/378.13
  6. Step 6: Final answer
    x = 274.64

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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.