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Finding the Fourth Proportional to 170.66, 256.02 and 146.78

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Solution

The fourth proportional to 170.66, 256.02 and 146.78 is: 220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.66 : 256.02 = 146.78 : x
  2. Step 2: Convert to fraction form
    170.66/256.02 = 146.78/x
  3. Step 3: Cross multiply
    170.66x = 256.02 × 146.78
  4. Step 4: Simplify right side
    170.66x = 37,578.62
  5. Step 5: Solve for x
    x = 37,578.62/170.66
  6. Step 6: Final answer
    x = 220.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.