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Finding the Fourth Proportional to 301.86, 416.58 and 170.85

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Solution

The fourth proportional to 301.86, 416.58 and 170.85 is: 235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 416.58 = 170.85 : x
  2. Step 2: Convert to fraction form
    301.86/416.58 = 170.85/x
  3. Step 3: Cross multiply
    301.86x = 416.58 × 170.85
  4. Step 4: Simplify right side
    301.86x = 71,172.69
  5. Step 5: Solve for x
    x = 71,172.69/301.86
  6. Step 6: Final answer
    x = 235.78

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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.