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Finding the Fourth Proportional to 378.06, 567.09 and 185.82

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Solution

The fourth proportional to 378.06, 567.09 and 185.82 is: 278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.06 : 567.09 = 185.82 : x
  2. Step 2: Convert to fraction form
    378.06/567.09 = 185.82/x
  3. Step 3: Cross multiply
    378.06x = 567.09 × 185.82
  4. Step 4: Simplify right side
    378.06x = 105,376.66
  5. Step 5: Solve for x
    x = 105,376.66/378.06
  6. Step 6: Final answer
    x = 278.73

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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.