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Finding the Fourth Proportional to 274.30, 378.49 and 157.86

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Solution

The fourth proportional to 274.30, 378.49 and 157.86 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.30 : 378.49 = 157.86 : x
  2. Step 2: Convert to fraction form
    274.30/378.49 = 157.86/x
  3. Step 3: Cross multiply
    274.30x = 378.49 × 157.86
  4. Step 4: Simplify right side
    274.30x = 59,748.43
  5. Step 5: Solve for x
    x = 59,748.43/274.30
  6. Step 6: Final answer
    x = 217.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.