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Finding the Fourth Proportional to 303.97, 419.48 and 173

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Solution

The fourth proportional to 303.97, 419.48 and 173 is: 238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.97 : 419.48 = 173 : x
  2. Step 2: Convert to fraction form
    303.97/419.48 = 173/x
  3. Step 3: Cross multiply
    303.97x = 419.48 × 173
  4. Step 4: Simplify right side
    303.97x = 72,569.18
  5. Step 5: Solve for x
    x = 72,569.18/303.97
  6. Step 6: Final answer
    x = 238.74

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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.