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Finding the Fourth Proportional to 273.01, 409.17 and 128.41

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Solution

The fourth proportional to 273.01, 409.17 and 128.41 is: 192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.01 : 409.17 = 128.41 : x
  2. Step 2: Convert to fraction form
    273.01/409.17 = 128.41/x
  3. Step 3: Cross multiply
    273.01x = 409.17 × 128.41
  4. Step 4: Simplify right side
    273.01x = 52,541.52
  5. Step 5: Solve for x
    x = 52,541.52/273.01
  6. Step 6: Final answer
    x = 192.45

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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.