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Finding the Fourth Proportional to 272.57, 409.07 and 142.61

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Solution

The fourth proportional to 272.57, 409.07 and 142.61 is: 214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.57 : 409.07 = 142.61 : x
  2. Step 2: Convert to fraction form
    272.57/409.07 = 142.61/x
  3. Step 3: Cross multiply
    272.57x = 409.07 × 142.61
  4. Step 4: Simplify right side
    272.57x = 58,334.71
  5. Step 5: Solve for x
    x = 58,334.71/272.57
  6. Step 6: Final answer
    x = 214.02

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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.