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Finding the Fourth Proportional to 272.64, 408.36 and 176.16

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Solution

The fourth proportional to 272.64, 408.36 and 176.16 is: 263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.64 : 408.36 = 176.16 : x
  2. Step 2: Convert to fraction form
    272.64/408.36 = 176.16/x
  3. Step 3: Cross multiply
    272.64x = 408.36 × 176.16
  4. Step 4: Simplify right side
    272.64x = 71,936.70
  5. Step 5: Solve for x
    x = 71,936.70/272.64
  6. Step 6: Final answer
    x = 263.85

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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.