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Finding the Fourth Proportional to 272.94, 407.67 and 234.24

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Solution

The fourth proportional to 272.94, 407.67 and 234.24 is: 349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.94 : 407.67 = 234.24 : x
  2. Step 2: Convert to fraction form
    272.94/407.67 = 234.24/x
  3. Step 3: Cross multiply
    272.94x = 407.67 × 234.24
  4. Step 4: Simplify right side
    272.94x = 95,492.62
  5. Step 5: Solve for x
    x = 95,492.62/272.94
  6. Step 6: Final answer
    x = 349.87

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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.