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Finding the Fourth Proportional to 274.04, 378.17 and 186.74

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Solution

The fourth proportional to 274.04, 378.17 and 186.74 is: 257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.04 : 378.17 = 186.74 : x
  2. Step 2: Convert to fraction form
    274.04/378.17 = 186.74/x
  3. Step 3: Cross multiply
    274.04x = 378.17 × 186.74
  4. Step 4: Simplify right side
    274.04x = 70,619.47
  5. Step 5: Solve for x
    x = 70,619.47/274.04
  6. Step 6: Final answer
    x = 257.70

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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.