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Finding the Fourth Proportional to 274.52, 378.71 and 185.93

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Solution

The fourth proportional to 274.52, 378.71 and 185.93 is: 256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.52 : 378.71 = 185.93 : x
  2. Step 2: Convert to fraction form
    274.52/378.71 = 185.93/x
  3. Step 3: Cross multiply
    274.52x = 378.71 × 185.93
  4. Step 4: Simplify right side
    274.52x = 70,412.84
  5. Step 5: Solve for x
    x = 70,412.84/274.52
  6. Step 6: Final answer
    x = 256.49

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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.