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Finding the Fourth Proportional to 301.67, 416.33 and 170.71

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Solution

The fourth proportional to 301.67, 416.33 and 170.71 is: 235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.67 : 416.33 = 170.71 : x
  2. Step 2: Convert to fraction form
    301.67/416.33 = 170.71/x
  3. Step 3: Cross multiply
    301.67x = 416.33 × 170.71
  4. Step 4: Simplify right side
    301.67x = 71,070.84
  5. Step 5: Solve for x
    x = 71,070.84/301.67
  6. Step 6: Final answer
    x = 235.59

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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.