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Finding the Fourth Proportional to 272.69, 376.31 and 148.35

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Solution

The fourth proportional to 272.69, 376.31 and 148.35 is: 204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.69 : 376.31 = 148.35 : x
  2. Step 2: Convert to fraction form
    272.69/376.31 = 148.35/x
  3. Step 3: Cross multiply
    272.69x = 376.31 × 148.35
  4. Step 4: Simplify right side
    272.69x = 55,824.85
  5. Step 5: Solve for x
    x = 55,824.85/272.69
  6. Step 6: Final answer
    x = 204.72

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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.