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Finding the Fourth Proportional to 303.62, 418.96 and 170.84

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Solution

The fourth proportional to 303.62, 418.96 and 170.84 is: 235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.62 : 418.96 = 170.84 : x
  2. Step 2: Convert to fraction form
    303.62/418.96 = 170.84/x
  3. Step 3: Cross multiply
    303.62x = 418.96 × 170.84
  4. Step 4: Simplify right side
    303.62x = 71,575.13
  5. Step 5: Solve for x
    x = 71,575.13/303.62
  6. Step 6: Final answer
    x = 235.74

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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.