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Finding the Fourth Proportional to 301.92, 416.65 and 170.93

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Solution

The fourth proportional to 301.92, 416.65 and 170.93 is: 235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 416.65 = 170.93 : x
  2. Step 2: Convert to fraction form
    301.92/416.65 = 170.93/x
  3. Step 3: Cross multiply
    301.92x = 416.65 × 170.93
  4. Step 4: Simplify right side
    301.92x = 71,217.98
  5. Step 5: Solve for x
    x = 71,217.98/301.92
  6. Step 6: Final answer
    x = 235.88

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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.