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Finding the Fourth Proportional to 273.34, 409.21 and 157.57

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Solution

The fourth proportional to 273.34, 409.21 and 157.57 is: 235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.34 : 409.21 = 157.57 : x
  2. Step 2: Convert to fraction form
    273.34/409.21 = 157.57/x
  3. Step 3: Cross multiply
    273.34x = 409.21 × 157.57
  4. Step 4: Simplify right side
    273.34x = 64,479.22
  5. Step 5: Solve for x
    x = 64,479.22/273.34
  6. Step 6: Final answer
    x = 235.89

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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.