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Finding the Fourth Proportional to 273.14, 409.62 and 99.77

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Solution

The fourth proportional to 273.14, 409.62 and 99.77 is: 149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.14 : 409.62 = 99.77 : x
  2. Step 2: Convert to fraction form
    273.14/409.62 = 99.77/x
  3. Step 3: Cross multiply
    273.14x = 409.62 × 99.77
  4. Step 4: Simplify right side
    273.14x = 40,867.79
  5. Step 5: Solve for x
    x = 40,867.79/273.14
  6. Step 6: Final answer
    x = 149.62

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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.