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Finding the Fourth Proportional to 272.04, 408.13 and 156.61

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Solution

The fourth proportional to 272.04, 408.13 and 156.61 is: 234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.04 : 408.13 = 156.61 : x
  2. Step 2: Convert to fraction form
    272.04/408.13 = 156.61/x
  3. Step 3: Cross multiply
    272.04x = 408.13 × 156.61
  4. Step 4: Simplify right side
    272.04x = 63,917.24
  5. Step 5: Solve for x
    x = 63,917.24/272.04
  6. Step 6: Final answer
    x = 234.96

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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.