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Finding the Fourth Proportional to 274.06, 378.14 and 157.62

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Solution

The fourth proportional to 274.06, 378.14 and 157.62 is: 217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.06 : 378.14 = 157.62 : x
  2. Step 2: Convert to fraction form
    274.06/378.14 = 157.62/x
  3. Step 3: Cross multiply
    274.06x = 378.14 × 157.62
  4. Step 4: Simplify right side
    274.06x = 59,602.43
  5. Step 5: Solve for x
    x = 59,602.43/274.06
  6. Step 6: Final answer
    x = 217.48

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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.