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Finding the Fourth Proportional to 272.83, 376.50 and 148.49

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Solution

The fourth proportional to 272.83, 376.50 and 148.49 is: 204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.83 : 376.50 = 148.49 : x
  2. Step 2: Convert to fraction form
    272.83/376.50 = 148.49/x
  3. Step 3: Cross multiply
    272.83x = 376.50 × 148.49
  4. Step 4: Simplify right side
    272.83x = 55,903.86
  5. Step 5: Solve for x
    x = 55,903.86/272.83
  6. Step 6: Final answer
    x = 204.91

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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.