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Finding the Fourth Proportional to 170.65, 235.33 and 133.80

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Solution

The fourth proportional to 170.65, 235.33 and 133.80 is: 184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.65 : 235.33 = 133.80 : x
  2. Step 2: Convert to fraction form
    170.65/235.33 = 133.80/x
  3. Step 3: Cross multiply
    170.65x = 235.33 × 133.80
  4. Step 4: Simplify right side
    170.65x = 31,487.15
  5. Step 5: Solve for x
    x = 31,487.15/170.65
  6. Step 6: Final answer
    x = 184.51

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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.