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Finding the Fourth Proportional to 303.88, 419.32 and 171.08

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Solution

The fourth proportional to 303.88, 419.32 and 171.08 is: 236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.88 : 419.32 = 171.08 : x
  2. Step 2: Convert to fraction form
    303.88/419.32 = 171.08/x
  3. Step 3: Cross multiply
    303.88x = 419.32 × 171.08
  4. Step 4: Simplify right side
    303.88x = 71,737.27
  5. Step 5: Solve for x
    x = 71,737.27/303.88
  6. Step 6: Final answer
    x = 236.07

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Why These Related Problems?

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