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Finding the Fourth Proportional to 272.52, 375.96 and 185.16

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Solution

The fourth proportional to 272.52, 375.96 and 185.16 is: 255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.52 : 375.96 = 185.16 : x
  2. Step 2: Convert to fraction form
    272.52/375.96 = 185.16/x
  3. Step 3: Cross multiply
    272.52x = 375.96 × 185.16
  4. Step 4: Simplify right side
    272.52x = 69,612.75
  5. Step 5: Solve for x
    x = 69,612.75/272.52
  6. Step 6: Final answer
    x = 255.44

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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.