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Finding the Fourth Proportional to 272.32, 408.14 and 156.82

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Solution

The fourth proportional to 272.32, 408.14 and 156.82 is: 235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.32 : 408.14 = 156.82 : x
  2. Step 2: Convert to fraction form
    272.32/408.14 = 156.82/x
  3. Step 3: Cross multiply
    272.32x = 408.14 × 156.82
  4. Step 4: Simplify right side
    272.32x = 64,004.51
  5. Step 5: Solve for x
    x = 64,004.51/272.32
  6. Step 6: Final answer
    x = 235.03

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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.