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Finding the Fourth Proportional to 170.87, 256.44 and 146.57

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Solution

The fourth proportional to 170.87, 256.44 and 146.57 is: 219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.87 : 256.44 = 146.57 : x
  2. Step 2: Convert to fraction form
    170.87/256.44 = 146.57/x
  3. Step 3: Cross multiply
    170.87x = 256.44 × 146.57
  4. Step 4: Simplify right side
    170.87x = 37,586.41
  5. Step 5: Solve for x
    x = 37,586.41/170.87
  6. Step 6: Final answer
    x = 219.97

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Why These Related Problems?

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