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Finding the Fourth Proportional to 274.72, 378.98 and 187.24

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Solution

The fourth proportional to 274.72, 378.98 and 187.24 is: 258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.72 : 378.98 = 187.24 : x
  2. Step 2: Convert to fraction form
    274.72/378.98 = 187.24/x
  3. Step 3: Cross multiply
    274.72x = 378.98 × 187.24
  4. Step 4: Simplify right side
    274.72x = 70,960.22
  5. Step 5: Solve for x
    x = 70,960.22/274.72
  6. Step 6: Final answer
    x = 258.30

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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.