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Finding the Fourth Proportional to 273.79, 410.62 and 100.45

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Solution

The fourth proportional to 273.79, 410.62 and 100.45 is: 150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.79 : 410.62 = 100.45 : x
  2. Step 2: Convert to fraction form
    273.79/410.62 = 100.45/x
  3. Step 3: Cross multiply
    273.79x = 410.62 × 100.45
  4. Step 4: Simplify right side
    273.79x = 41,246.78
  5. Step 5: Solve for x
    x = 41,246.78/273.79
  6. Step 6: Final answer
    x = 150.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.