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Finding the Fourth Proportional to 272.95, 408.99 and 142.66

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Solution

The fourth proportional to 272.95, 408.99 and 142.66 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.95 : 408.99 = 142.66 : x
  2. Step 2: Convert to fraction form
    272.95/408.99 = 142.66/x
  3. Step 3: Cross multiply
    272.95x = 408.99 × 142.66
  4. Step 4: Simplify right side
    272.95x = 58,346.51
  5. Step 5: Solve for x
    x = 58,346.51/272.95
  6. Step 6: Final answer
    x = 213.76

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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.