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Finding the Fourth Proportional to 378.41, 566.97 and 183.50

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Solution

The fourth proportional to 378.41, 566.97 and 183.50 is: 274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.41 : 566.97 = 183.50 : x
  2. Step 2: Convert to fraction form
    378.41/566.97 = 183.50/x
  3. Step 3: Cross multiply
    378.41x = 566.97 × 183.50
  4. Step 4: Simplify right side
    378.41x = 104,039.00
  5. Step 5: Solve for x
    x = 104,039.00/378.41
  6. Step 6: Final answer
    x = 274.94

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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.