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Finding the Fourth Proportional to 303.75, 419.21 and 171.01

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Solution

The fourth proportional to 303.75, 419.21 and 171.01 is: 236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.75 : 419.21 = 171.01 : x
  2. Step 2: Convert to fraction form
    303.75/419.21 = 171.01/x
  3. Step 3: Cross multiply
    303.75x = 419.21 × 171.01
  4. Step 4: Simplify right side
    303.75x = 71,687.52
  5. Step 5: Solve for x
    x = 71,687.52/303.75
  6. Step 6: Final answer
    x = 236.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.