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Finding the Fourth Proportional to 272.77, 376.41 and 148.42

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Solution

The fourth proportional to 272.77, 376.41 and 148.42 is: 204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.77 : 376.41 = 148.42 : x
  2. Step 2: Convert to fraction form
    272.77/376.41 = 148.42/x
  3. Step 3: Cross multiply
    272.77x = 376.41 × 148.42
  4. Step 4: Simplify right side
    272.77x = 55,866.77
  5. Step 5: Solve for x
    x = 55,866.77/272.77
  6. Step 6: Final answer
    x = 204.81

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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.