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Finding the Fourth Proportional to 216.41, 324.62 and 170.71

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Solution

The fourth proportional to 216.41, 324.62 and 170.71 is: 256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.41 : 324.62 = 170.71 : x
  2. Step 2: Convert to fraction form
    216.41/324.62 = 170.71/x
  3. Step 3: Cross multiply
    216.41x = 324.62 × 170.71
  4. Step 4: Simplify right side
    216.41x = 55,415.88
  5. Step 5: Solve for x
    x = 55,415.88/216.41
  6. Step 6: Final answer
    x = 256.07

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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.