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Finding the Fourth Proportional to 274.58, 378.94 and 156.56

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Solution

The fourth proportional to 274.58, 378.94 and 156.56 is: 216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.58 : 378.94 = 156.56 : x
  2. Step 2: Convert to fraction form
    274.58/378.94 = 156.56/x
  3. Step 3: Cross multiply
    274.58x = 378.94 × 156.56
  4. Step 4: Simplify right side
    274.58x = 59,324.56
  5. Step 5: Solve for x
    x = 59,324.56/274.58
  6. Step 6: Final answer
    x = 216.06

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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.