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Finding the Fourth Proportional to 272.77, 376.56 and 185.90

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Solution

The fourth proportional to 272.77, 376.56 and 185.90 is: 256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.77 : 376.56 = 185.90 : x
  2. Step 2: Convert to fraction form
    272.77/376.56 = 185.90/x
  3. Step 3: Cross multiply
    272.77x = 376.56 × 185.90
  4. Step 4: Simplify right side
    272.77x = 70,001.10
  5. Step 5: Solve for x
    x = 70,001.10/272.77
  6. Step 6: Final answer
    x = 256.63

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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.