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Finding the Fourth Proportional to 272.58, 408.02 and 164.58

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Solution

The fourth proportional to 272.58, 408.02 and 164.58 is: 246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.58 : 408.02 = 164.58 : x
  2. Step 2: Convert to fraction form
    272.58/408.02 = 164.58/x
  3. Step 3: Cross multiply
    272.58x = 408.02 × 164.58
  4. Step 4: Simplify right side
    272.58x = 67,151.93
  5. Step 5: Solve for x
    x = 67,151.93/272.58
  6. Step 6: Final answer
    x = 246.36

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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.