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Finding the Fourth Proportional to 274.86, 378.84 and 187.38

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Solution

The fourth proportional to 274.86, 378.84 and 187.38 is: 258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 378.84 = 187.38 : x
  2. Step 2: Convert to fraction form
    274.86/378.84 = 187.38/x
  3. Step 3: Cross multiply
    274.86x = 378.84 × 187.38
  4. Step 4: Simplify right side
    274.86x = 70,987.04
  5. Step 5: Solve for x
    x = 70,987.04/274.86
  6. Step 6: Final answer
    x = 258.27

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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.