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Finding the Fourth Proportional to 273.16, 409.64 and 99.80

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Solution

The fourth proportional to 273.16, 409.64 and 99.80 is: 149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.16 : 409.64 = 99.80 : x
  2. Step 2: Convert to fraction form
    273.16/409.64 = 99.80/x
  3. Step 3: Cross multiply
    273.16x = 409.64 × 99.80
  4. Step 4: Simplify right side
    273.16x = 40,882.07
  5. Step 5: Solve for x
    x = 40,882.07/273.16
  6. Step 6: Final answer
    x = 149.66

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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.