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Finding the Fourth Proportional to 272.67, 409.59 and 164.52

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Solution

The fourth proportional to 272.67, 409.59 and 164.52 is: 247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.67 : 409.59 = 164.52 : x
  2. Step 2: Convert to fraction form
    272.67/409.59 = 164.52/x
  3. Step 3: Cross multiply
    272.67x = 409.59 × 164.52
  4. Step 4: Simplify right side
    272.67x = 67,385.75
  5. Step 5: Solve for x
    x = 67,385.75/272.67
  6. Step 6: Final answer
    x = 247.13

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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.