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Finding the Fourth Proportional to 274.12, 378.36 and 157.76

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Solution

The fourth proportional to 274.12, 378.36 and 157.76 is: 217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.12 : 378.36 = 157.76 : x
  2. Step 2: Convert to fraction form
    274.12/378.36 = 157.76/x
  3. Step 3: Cross multiply
    274.12x = 378.36 × 157.76
  4. Step 4: Simplify right side
    274.12x = 59,690.07
  5. Step 5: Solve for x
    x = 59,690.07/274.12
  6. Step 6: Final answer
    x = 217.75

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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.