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Finding the Fourth Proportional to 378.23, 566.96 and 182.94

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Solution

The fourth proportional to 378.23, 566.96 and 182.94 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.23 : 566.96 = 182.94 : x
  2. Step 2: Convert to fraction form
    378.23/566.96 = 182.94/x
  3. Step 3: Cross multiply
    378.23x = 566.96 × 182.94
  4. Step 4: Simplify right side
    378.23x = 103,718.75
  5. Step 5: Solve for x
    x = 103,718.75/378.23
  6. Step 6: Final answer
    x = 274.22

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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.