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Finding the Fourth Proportional to 273.58, 410.01 and 158.02

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Solution

The fourth proportional to 273.58, 410.01 and 158.02 is: 236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.58 : 410.01 = 158.02 : x
  2. Step 2: Convert to fraction form
    273.58/410.01 = 158.02/x
  3. Step 3: Cross multiply
    273.58x = 410.01 × 158.02
  4. Step 4: Simplify right side
    273.58x = 64,789.78
  5. Step 5: Solve for x
    x = 64,789.78/273.58
  6. Step 6: Final answer
    x = 236.82

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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.