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Finding the Fourth Proportional to 272.76, 408.96 and 176.64

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Solution

The fourth proportional to 272.76, 408.96 and 176.64 is: 264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.76 : 408.96 = 176.64 : x
  2. Step 2: Convert to fraction form
    272.76/408.96 = 176.64/x
  3. Step 3: Cross multiply
    272.76x = 408.96 × 176.64
  4. Step 4: Simplify right side
    272.76x = 72,238.69
  5. Step 5: Solve for x
    x = 72,238.69/272.76
  6. Step 6: Final answer
    x = 264.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.