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Finding the Fourth Proportional to 272.76, 407.22 and 231.78

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Solution

The fourth proportional to 272.76, 407.22 and 231.78 is: 346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.76 : 407.22 = 231.78 : x
  2. Step 2: Convert to fraction form
    272.76/407.22 = 231.78/x
  3. Step 3: Cross multiply
    272.76x = 407.22 × 231.78
  4. Step 4: Simplify right side
    272.76x = 94,385.45
  5. Step 5: Solve for x
    x = 94,385.45/272.76
  6. Step 6: Final answer
    x = 346.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.