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Finding the Fourth Proportional to 170.29, 254.19 and 155.86

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Solution

The fourth proportional to 170.29, 254.19 and 155.86 is: 232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.29 : 254.19 = 155.86 : x
  2. Step 2: Convert to fraction form
    170.29/254.19 = 155.86/x
  3. Step 3: Cross multiply
    170.29x = 254.19 × 155.86
  4. Step 4: Simplify right side
    170.29x = 39,618.05
  5. Step 5: Solve for x
    x = 39,618.05/170.29
  6. Step 6: Final answer
    x = 232.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.